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Simplifying
2x2 + -116 = -1x2 + 247
Reorder the terms:
-116 + 2x2 = -1x2 + 247
Reorder the terms:
-116 + 2x2 = 247 + -1x2
Solving
-116 + 2x2 = 247 + -1x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'x2' to each side of the equation.
-116 + 2x2 + x2 = 247 + -1x2 + x2
Combine like terms: 2x2 + x2 = 3x2
-116 + 3x2 = 247 + -1x2 + x2
Combine like terms: -1x2 + x2 = 0
-116 + 3x2 = 247 + 0
-116 + 3x2 = 247
Add '116' to each side of the equation.
-116 + 116 + 3x2 = 247 + 116
Combine like terms: -116 + 116 = 0
0 + 3x2 = 247 + 116
3x2 = 247 + 116
Combine like terms: 247 + 116 = 363
3x2 = 363
Divide each side by '3'.
x2 = 121
Simplifying
x2 = 121
Take the square root of each side:
x = {-11, 11}
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