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Simplifying
117 = 2x2 + 7 + 61 + -1x2
Reorder the terms:
117 = 7 + 61 + 2x2 + -1x2
Combine like terms: 7 + 61 = 68
117 = 68 + 2x2 + -1x2
Combine like terms: 2x2 + -1x2 = 1x2
117 = 68 + 1x2
Solving
117 = 68 + 1x2
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.
117 + -1x2 = 68 + 1x2 + -1x2
Combine like terms: 1x2 + -1x2 = 0
117 + -1x2 = 68 + 0
117 + -1x2 = 68
Add '-117' to each side of the equation.
117 + -117 + -1x2 = 68 + -117
Combine like terms: 117 + -117 = 0
0 + -1x2 = 68 + -117
-1x2 = 68 + -117
Combine like terms: 68 + -117 = -49
-1x2 = -49
Divide each side by '-1'.
x2 = 49
Simplifying
x2 = 49
Take the square root of each side:
x = {-7, 7}
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