1125=.5*250*v^2

Solution for 1125=.5*250*v^2 equation:

Simplifying
1125 = 0.5 * 250v2

Multiply 0.5 * 250
1125 = 125v2

Solving
1125 = 125v2

Solving for variable 'v'.

Move all terms containing v to the left, all other terms to the right.

Add '-125v2' to each side of the equation.
1125 + -125v2 = 125v2 + -125v2

Combine like terms: 125v2 + -125v2 = 0
1125 + -125v2 = 0

Add '-1125' to each side of the equation.
1125 + -1125 + -125v2 = 0 + -1125

Combine like terms: 1125 + -1125 = 0
0 + -125v2 = 0 + -1125
-125v2 = 0 + -1125

Combine like terms: 0 + -1125 = -1125
-125v2 = -1125

Divide each side by '-125'.
v2 = 9

Simplifying
v2 = 9

Take the square root of each side:
v = {-3, 3}