20045=0.5*2000v^2

Solution for 20045=0.5*2000v^2 equation:

Simplifying
20045 = 0.5 * 2000v2

Multiply 0.5 * 2000
20045 = 1000v2

Solving
20045 = 1000v2

Solving for variable 'v'.

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

Add '-1000v2' to each side of the equation.
20045 + -1000v2 = 1000v2 + -1000v2

Combine like terms: 1000v2 + -1000v2 = 0
20045 + -1000v2 = 0

Add '-20045' to each side of the equation.
20045 + -20045 + -1000v2 = 0 + -20045

Combine like terms: 20045 + -20045 = 0
0 + -1000v2 = 0 + -20045
-1000v2 = 0 + -20045

Combine like terms: 0 + -20045 = -20045
-1000v2 = -20045

Divide each side by '-1000'.
v2 = 20.045

Simplifying
v2 = 20.045

Take the square root of each side:
v = {-4.477164281, 4.477164281}