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Simplifying
-2x2 + 4 = 8x2 + -12
Reorder the terms:
4 + -2x2 = 8x2 + -12
Reorder the terms:
4 + -2x2 = -12 + 8x2
Solving
4 + -2x2 = -12 + 8x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8x2' to each side of the equation.
4 + -2x2 + -8x2 = -12 + 8x2 + -8x2
Combine like terms: -2x2 + -8x2 = -10x2
4 + -10x2 = -12 + 8x2 + -8x2
Combine like terms: 8x2 + -8x2 = 0
4 + -10x2 = -12 + 0
4 + -10x2 = -12
Add '-4' to each side of the equation.
4 + -4 + -10x2 = -12 + -4
Combine like terms: 4 + -4 = 0
0 + -10x2 = -12 + -4
-10x2 = -12 + -4
Combine like terms: -12 + -4 = -16
-10x2 = -16
Divide each side by '-10'.
x2 = 1.6
Simplifying
x2 = 1.6
Take the square root of each side:
x = {-1.264911064, 1.264911064}
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