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Simplifying
-2x2 + 31 = 2x2 + -17
Reorder the terms:
31 + -2x2 = 2x2 + -17
Reorder the terms:
31 + -2x2 = -17 + 2x2
Solving
31 + -2x2 = -17 + 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.
31 + -2x2 + -2x2 = -17 + 2x2 + -2x2
Combine like terms: -2x2 + -2x2 = -4x2
31 + -4x2 = -17 + 2x2 + -2x2
Combine like terms: 2x2 + -2x2 = 0
31 + -4x2 = -17 + 0
31 + -4x2 = -17
Add '-31' to each side of the equation.
31 + -31 + -4x2 = -17 + -31
Combine like terms: 31 + -31 = 0
0 + -4x2 = -17 + -31
-4x2 = -17 + -31
Combine like terms: -17 + -31 = -48
-4x2 = -48
Divide each side by '-4'.
x2 = 12
Simplifying
x2 = 12
Take the square root of each side:
x = {-3.464101615, 3.464101615}
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