-2x^2+4=2x^2-12

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Solution for -2x^2+4=2x^2-12 equation: 


Simplifying
-2x2 + 4 = 2x2 + -12

Reorder the terms:
4 + -2x2 = 2x2 + -12

Reorder the terms:
4 + -2x2 = -12 + 2x2

Solving
4 + -2x2 = -12 + 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
4 + -2x2 + -2x2 = -12 + 2x2 + -2x2

Combine like terms: -2x2 + -2x2 = -4x2
4 + -4x2 = -12 + 2x2 + -2x2

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

Add '-4' to each side of the equation.
4 + -4 + -4x2 = -12 + -4

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

Combine like terms: -12 + -4 = -16
-4x2 = -16

Divide each side by '-4'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}

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