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Simplifying
-6x2 + 68 = 2x2 + -4
Reorder the terms:
68 + -6x2 = 2x2 + -4
Reorder the terms:
68 + -6x2 = -4 + 2x2
Solving
68 + -6x2 = -4 + 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.
68 + -6x2 + -2x2 = -4 + 2x2 + -2x2
Combine like terms: -6x2 + -2x2 = -8x2
68 + -8x2 = -4 + 2x2 + -2x2
Combine like terms: 2x2 + -2x2 = 0
68 + -8x2 = -4 + 0
68 + -8x2 = -4
Add '-68' to each side of the equation.
68 + -68 + -8x2 = -4 + -68
Combine like terms: 68 + -68 = 0
0 + -8x2 = -4 + -68
-8x2 = -4 + -68
Combine like terms: -4 + -68 = -72
-8x2 = -72
Divide each side by '-8'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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