4X^2-12X+12X-32=100

Solution for 4X^2-12X+12X-32=100 equation:

Simplifying
4X2 + -12X + 12X + -32 = 100

Reorder the terms:
-32 + -12X + 12X + 4X2 = 100

Combine like terms: -12X + 12X = 0
-32 + 0 + 4X2 = 100
-32 + 4X2 = 100

Solving
-32 + 4X2 = 100

Solving for variable 'X'.

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

Add '32' to each side of the equation.
-32 + 32 + 4X2 = 100 + 32

Combine like terms: -32 + 32 = 0
0 + 4X2 = 100 + 32
4X2 = 100 + 32

Combine like terms: 100 + 32 = 132
4X2 = 132

Divide each side by '4'.
X2 = 33

Simplifying
X2 = 33

Take the square root of each side:
X = {-5.744562647, 5.744562647}