600=1.5x*x

Solution for 600=1.5x*x equation:

Simplifying
600 = 1.5x * x

Multiply x * x
600 = 1.5x2

Solving
600 = 1.5x2

Solving for variable 'x'.

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

Add '-1.5x2' to each side of the equation.
600 + -1.5x2 = 1.5x2 + -1.5x2

Combine like terms: 1.5x2 + -1.5x2 = 0.0
600 + -1.5x2 = 0.0

Add '-600' to each side of the equation.
600 + -600 + -1.5x2 = 0.0 + -600

Combine like terms: 600 + -600 = 0
0 + -1.5x2 = 0.0 + -600
-1.5x2 = 0.0 + -600

Combine like terms: 0.0 + -600 = -600
-1.5x2 = -600

Divide each side by '-1.5'.
x2 = 400

Simplifying
x2 = 400

Take the square root of each side:
x = {-20, 20}