250=x*1.5x

Solution for 250=x*1.5x equation:

Simplifying
250 = x * 1.5x

Reorder the terms for easier multiplication:
250 = 1.5x * x

Multiply x * x
250 = 1.5x2

Solving
250 = 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.
250 + -1.5x2 = 1.5x2 + -1.5x2

Combine like terms: 1.5x2 + -1.5x2 = 0.0
250 + -1.5x2 = 0.0

Add '-250' to each side of the equation.
250 + -250 + -1.5x2 = 0.0 + -250

Combine like terms: 250 + -250 = 0
0 + -1.5x2 = 0.0 + -250
-1.5x2 = 0.0 + -250

Combine like terms: 0.0 + -250 = -250
-1.5x2 = -250

Divide each side by '-1.5'.
x2 = 166.6666667

Simplifying
x2 = 166.6666667

Take the square root of each side:
x = {-12.909944489, 12.909944489}