0.43=x*(x*1.5)

Solution for 0.43=x*(x*1.5) equation:

Simplifying
0.43 = x(x * 1.5)

Reorder the terms for easier multiplication:
0.43 = x(1.5x)

Remove parenthesis around (1.5x)
0.43 = x * 1.5x

Reorder the terms for easier multiplication:
0.43 = 1.5x * x

Multiply x * x
0.43 = 1.5x2

Solving
0.43 = 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.
0.43 + -1.5x2 = 1.5x2 + -1.5x2

Combine like terms: 1.5x2 + -1.5x2 = 0.0
0.43 + -1.5x2 = 0.0

Add '-0.43' to each side of the equation.
0.43 + -0.43 + -1.5x2 = 0.0 + -0.43

Combine like terms: 0.43 + -0.43 = 0.00
0.00 + -1.5x2 = 0.0 + -0.43
-1.5x2 = 0.0 + -0.43

Combine like terms: 0.0 + -0.43 = -0.43
-1.5x2 = -0.43

Divide each side by '-1.5'.
x2 = 0.2866666667

Simplifying
x2 = 0.2866666667

Take the square root of each side:
x = {-0.535412614, 0.535412614}