4X^2+8X^2-32=0

Solution for 4X^2+8X^2-32=0 equation:

Simplifying
4X2 + 8X2 + -32 = 0

Reorder the terms:
-32 + 4X2 + 8X2 = 0

Combine like terms: 4X2 + 8X2 = 12X2
-32 + 12X2 = 0

Solving
-32 + 12X2 = 0

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 + 12X2 = 0 + 32

Combine like terms: -32 + 32 = 0
0 + 12X2 = 0 + 32
12X2 = 0 + 32

Combine like terms: 0 + 32 = 32
12X2 = 32

Divide each side by '12'.
X2 = 2.666666667

Simplifying
X2 = 2.666666667

Take the square root of each side:
X = {-1.632993162, 1.632993162}