# Solve for v 0.3=1/2*1*v^2

0.3=12⋅1⋅v2
Rewrite the equation as 12⋅1⋅v2=0.3.
12⋅1⋅v2=0.3
Multiply 12 by 1.
12⋅v2=0.3
Multiply each term by 2 and simplify.
Multiply each term in 12v2=0.3 by 2.
12v2⋅2=0.3⋅2
Simplify 12v2⋅2.
Combine 12 and v2.
v22⋅2=0.3⋅2
Cancel the common factor of 2.
Cancel the common factor.
v22⋅2=0.3⋅2
Rewrite the expression.
v2=0.3⋅2
v2=0.3⋅2
v2=0.3⋅2
Multiply 0.3 by 2.
v2=0.6
v2=0.6
Take the square root of both sides of the equation to eliminate the exponent on the left side.
v=±0.6
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the ± to find the first solution.
v=0.6
Next, use the negative value of the ± to find the second solution.
v=-0.6
The complete solution is the result of both the positive and negative portions of the solution.
v=0.6,-0.6
v=0.6,-0.6
The result can be shown in multiple forms.
Exact Form:
v=0.6,-0.6
Decimal Form:
v=0.77459666…,-0.77459666…
Solve for v 0.3=1/2*1*v^2

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