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Simplifying
-2x2 + 15 = x2 + -12
Reorder the terms:
15 + -2x2 = x2 + -12
Reorder the terms:
15 + -2x2 = -12 + x2
Solving
15 + -2x2 = -12 + x2
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.
15 + -2x2 + -1x2 = -12 + x2 + -1x2
Combine like terms: -2x2 + -1x2 = -3x2
15 + -3x2 = -12 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
15 + -3x2 = -12 + 0
15 + -3x2 = -12
Add '-15' to each side of the equation.
15 + -15 + -3x2 = -12 + -15
Combine like terms: 15 + -15 = 0
0 + -3x2 = -12 + -15
-3x2 = -12 + -15
Combine like terms: -12 + -15 = -27
-3x2 = -27
Divide each side by '-3'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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