=(8x^2+4)-(12x^2+5)+(x^2+2)

Solution for =(8x^2+4)-(12x^2+5)+(x^2+2) equation:

Simplifying
0 = (8x2 + 4) + -1(12x2 + 5) + (x2 + 2)

Reorder the terms:
0 = (4 + 8x2) + -1(12x2 + 5) + (x2 + 2)

Remove parenthesis around (4 + 8x2)
0 = 4 + 8x2 + -1(12x2 + 5) + (x2 + 2)

Reorder the terms:
0 = 4 + 8x2 + -1(5 + 12x2) + (x2 + 2)
0 = 4 + 8x2 + (5 * -1 + 12x2 * -1) + (x2 + 2)
0 = 4 + 8x2 + (-5 + -12x2) + (x2 + 2)

Reorder the terms:
0 = 4 + 8x2 + -5 + -12x2 + (2 + x2)

Remove parenthesis around (2 + x2)
0 = 4 + 8x2 + -5 + -12x2 + 2 + x2

Reorder the terms:
0 = 4 + -5 + 2 + 8x2 + -12x2 + x2

Combine like terms: 4 + -5 = -1
0 = -1 + 2 + 8x2 + -12x2 + x2

Combine like terms: -1 + 2 = 1
0 = 1 + 8x2 + -12x2 + x2

Combine like terms: 8x2 + -12x2 = -4x2
0 = 1 + -4x2 + x2

Combine like terms: -4x2 + x2 = -3x2
0 = 1 + -3x2

Solving
0 = 1 + -3x2

Solving for variable 'x'.

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

Add '3x2' to each side of the equation.
0 + 3x2 = 1 + -3x2 + 3x2
Remove the zero:
3x2 = 1 + -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
3x2 = 1 + 0
3x2 = 1

Divide each side by '3'.
x2 = 0.3333333333

Simplifying
x2 = 0.3333333333

Take the square root of each side:
x = {-0.577350269, 0.577350269}