1.5x^2-32=x^2

Solution for 1.5x^2-32=x^2 equation:

Simplifying
1.5x2 + -32 = x2

Reorder the terms:
-32 + 1.5x2 = x2

Solving
-32 + 1.5x2 = x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
-32 + 1.5x2 + -1x2 = x2 + -1x2

Combine like terms: 1.5x2 + -1x2 = 0.5x2
-32 + 0.5x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-32 + 0.5x2 = 0

Add '32' to each side of the equation.
-32 + 32 + 0.5x2 = 0 + 32

Combine like terms: -32 + 32 = 0
0 + 0.5x2 = 0 + 32
0.5x2 = 0 + 32

Combine like terms: 0 + 32 = 32
0.5x2 = 32

Divide each side by '0.5'.
x2 = 64

Simplifying
x2 = 64

Take the square root of each side:
x = {-8, 8}