400=x*1.5x

Solution for 400=x*1.5x equation:

Simplifying
400 = x * 1.5x

Reorder the terms for easier multiplication:
400 = 1.5x * x

Multiply x * x
400 = 1.5x2

Solving
400 = 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.
400 + -1.5x2 = 1.5x2 + -1.5x2

Combine like terms: 1.5x2 + -1.5x2 = 0.0
400 + -1.5x2 = 0.0

Add '-400' to each side of the equation.
400 + -400 + -1.5x2 = 0.0 + -400

Combine like terms: 400 + -400 = 0
0 + -1.5x2 = 0.0 + -400
-1.5x2 = 0.0 + -400

Combine like terms: 0.0 + -400 = -400
-1.5x2 = -400

Divide each side by '-1.5'.
x2 = 266.6666667

Simplifying
x2 = 266.6666667

Take the square root of each side:
x = {-16.32993162, 16.32993162}