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Simplifying
x2 + 54 = 3x2 + -108
Reorder the terms:
54 + x2 = 3x2 + -108
Reorder the terms:
54 + x2 = -108 + 3x2
Solving
54 + x2 = -108 + 3x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x2' to each side of the equation.
54 + x2 + -3x2 = -108 + 3x2 + -3x2
Combine like terms: x2 + -3x2 = -2x2
54 + -2x2 = -108 + 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
54 + -2x2 = -108 + 0
54 + -2x2 = -108
Add '-54' to each side of the equation.
54 + -54 + -2x2 = -108 + -54
Combine like terms: 54 + -54 = 0
0 + -2x2 = -108 + -54
-2x2 = -108 + -54
Combine like terms: -108 + -54 = -162
-2x2 = -162
Divide each side by '-2'.
x2 = 81
Simplifying
x2 = 81
Take the square root of each side:
x = {-9, 9}
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