-x^2-12=x^2-20

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Solution for -x^2-12=x^2-20 equation: 


Simplifying
-1x2 + -12 = x2 + -20

Reorder the terms:
-12 + -1x2 = x2 + -20

Reorder the terms:
-12 + -1x2 = -20 + x2

Solving
-12 + -1x2 = -20 + 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.
-12 + -1x2 + -1x2 = -20 + x2 + -1x2

Combine like terms: -1x2 + -1x2 = -2x2
-12 + -2x2 = -20 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-12 + -2x2 = -20 + 0
-12 + -2x2 = -20

Add '12' to each side of the equation.
-12 + 12 + -2x2 = -20 + 12

Combine like terms: -12 + 12 = 0
0 + -2x2 = -20 + 12
-2x2 = -20 + 12

Combine like terms: -20 + 12 = -8
-2x2 = -8

Divide each side by '-2'.
x2 = 4

Simplifying
x2 = 4

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

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