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Simplifying
x2 + 4 = 2x2 + -12
Reorder the terms:
4 + x2 = 2x2 + -12
Reorder the terms:
4 + x2 = -12 + 2x2
Solving
4 + x2 = -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 + x2 + -2x2 = -12 + 2x2 + -2x2
Combine like terms: x2 + -2x2 = -1x2
4 + -1x2 = -12 + 2x2 + -2x2
Combine like terms: 2x2 + -2x2 = 0
4 + -1x2 = -12 + 0
4 + -1x2 = -12
Add '-4' to each side of the equation.
4 + -4 + -1x2 = -12 + -4
Combine like terms: 4 + -4 = 0
0 + -1x2 = -12 + -4
-1x2 = -12 + -4
Combine like terms: -12 + -4 = -16
-1x2 = -16
Divide each side by '-1'.
x2 = 16
Simplifying
x2 = 16
Take the square root of each side:
x = {-4, 4}
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