Solve for D 65 = square root of 30*D*0.875*1

Math
65=30⋅D⋅0.875⋅1
Rewrite the equation as 30⋅D⋅0.875⋅1=65.
30⋅D⋅0.875⋅1=65
To remove the radical on the left side of the equation, square both sides of the equation.
30⋅D⋅0.875⋅12=652
Simplify each side of the equation.
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Multiply the exponents in ((30⋅D⋅0.875⋅1)12)2.
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Apply the power rule and multiply exponents, (am)n=amn.
(30⋅D⋅0.875⋅1)12⋅2=652
Cancel the common factor of 2.
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Cancel the common factor.
(30⋅D⋅0.875⋅1)12⋅2=652
Rewrite the expression.
(30⋅D⋅0.875⋅1)1=652
(30⋅D⋅0.875⋅1)1=652
(30⋅D⋅0.875⋅1)1=652
Multiply 0.875 by 30.
(26.25D⋅1)1=652
Multiply 26.25 by 1.
(26.25D)1=652
Simplify.
26.25D=652
Raise 65 to the power of 2.
26.25D=4225
26.25D=4225
Divide each term by 26.25 and simplify.
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Divide each term in 26.25D=4225 by 26.25.
26.25D26.25=422526.25
Cancel the common factor of 26.25.
D=422526.25
Divide 4225 by 26.25.
D=160.952380‾
D=160.952380‾
Solve for D 65 = square root of 30*D*0.875*1

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