# Solve for v A=60/360*(v(10)^2)

A=60360⋅(v(10)2)
Rewrite the equation as 60360⋅(v(10)2)=A.
60360⋅(v(10)2)=A
Multiply both sides of the equation by 160360⋅(10)2.
160360⋅(10)2⋅60360⋅(v(10)2)=160360⋅(10)2A
Simplify both sides of the equation.
Simplify 160360⋅(10)2⋅60360⋅(v(10)2).
Combine 60360 and (10)2.
160(10)2360⋅60360⋅(v(10)2)=160360⋅(10)2A
Reduce the expression by cancelling the common factors.
Raise 10 to the power of 2.
160⋅100360⋅60360⋅(v(10)2)=160360⋅(10)2A
Multiply 60 by 100.
16000360⋅60360⋅(v(10)2)=160360⋅(10)2A
Cancel the common factor of 6000 and 360.
Factor 120 out of 6000.
1120(50)360⋅60360⋅(v(10)2)=160360⋅(10)2A
Cancel the common factors.
Factor 120 out of 360.
1120⋅50120⋅3⋅60360⋅(v(10)2)=160360⋅(10)2A
Cancel the common factor.
1120⋅50120⋅3⋅60360⋅(v(10)2)=160360⋅(10)2A
Rewrite the expression.
1503⋅60360⋅(v(10)2)=160360⋅(10)2A
1503⋅60360⋅(v(10)2)=160360⋅(10)2A
1503⋅60360⋅(v(10)2)=160360⋅(10)2A
1503⋅60360⋅(v(10)2)=160360⋅(10)2A
Multiply the numerator by the reciprocal of the denominator.
1(350)⋅60360⋅(v(10)2)=160360⋅(10)2A
Multiply 350 by 1.
350⋅60360⋅(v(10)2)=160360⋅(10)2A
Cancel the common factor of 3.
Factor 3 out of 360.
350⋅603(120)⋅(v(10)2)=160360⋅(10)2A
Cancel the common factor.
350⋅603⋅120⋅(v(10)2)=160360⋅(10)2A
Rewrite the expression.
150⋅60120⋅(v(10)2)=160360⋅(10)2A
150⋅60120⋅(v(10)2)=160360⋅(10)2A
Cancel the common factor of 10.
Factor 10 out of 50.
110(5)⋅60120⋅(v(10)2)=160360⋅(10)2A
Factor 10 out of 60.
110⋅5⋅10⋅6120⋅(v(10)2)=160360⋅(10)2A
Cancel the common factor.
110⋅5⋅10⋅6120⋅(v(10)2)=160360⋅(10)2A
Rewrite the expression.
15⋅6120⋅(v(10)2)=160360⋅(10)2A
15⋅6120⋅(v(10)2)=160360⋅(10)2A
Multiply 15 and 6120.
65⋅120⋅(v(10)2)=160360⋅(10)2A
Multiply 5 by 120.
6600⋅(v(10)2)=160360⋅(10)2A
Cancel the common factor of 6 and 600.
Factor 6 out of 6.
6(1)600⋅(v(10)2)=160360⋅(10)2A
Cancel the common factors.
Factor 6 out of 600.
6⋅16⋅100⋅(v(10)2)=160360⋅(10)2A
Cancel the common factor.
6⋅16⋅100⋅(v(10)2)=160360⋅(10)2A
Rewrite the expression.
1100⋅(v(10)2)=160360⋅(10)2A
1100⋅(v(10)2)=160360⋅(10)2A
1100⋅(v(10)2)=160360⋅(10)2A
Raise 10 to the power of 2.
1100⋅(v⋅100)=160360⋅(10)2A
Cancel the common factor of 100.
Factor 100 out of v⋅100.
1100⋅(100⋅v)=160360⋅(10)2A
Cancel the common factor.
1100⋅(100⋅v)=160360⋅(10)2A
Rewrite the expression.
v=160360⋅(10)2A
v=160360⋅(10)2A
v=160360⋅(10)2A
Simplify 160360⋅(10)2A.
Combine 60360 and (10)2.
v=160(10)2360A
Reduce the expression by cancelling the common factors.
Raise 10 to the power of 2.
v=160⋅100360A
Multiply 60 by 100.
v=16000360A
Cancel the common factor of 6000 and 360.
Factor 120 out of 6000.
v=1120(50)360A
Cancel the common factors.
Factor 120 out of 360.
v=1120⋅50120⋅3A
Cancel the common factor.
v=1120⋅50120⋅3A
Rewrite the expression.
v=1503A
v=1503A
v=1503A
v=1503A
Multiply the numerator by the reciprocal of the denominator.
v=1(350)A
Multiply 350 by 1.
v=350A
Combine 350 and A.
v=3A50
v=3A50
v=3A50
Solve for v A=60/360*(v(10)^2)

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