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Simplifying x2 + 18 = 12x + -1x2 Reorder the terms: 18 + x2 = 12x + -1x2 Solving 18 + x2 = 12x + -1x2 Solving for variable 'x'. Reorder the terms: 18 + -12x + x2 + x2 = 12x + -1x2 + -12x + x2 Combine like terms: x2 + x2 = 2x2 18 + -12x + 2x2 = 12x + -1x2 + -12x + x2 Reorder the terms: 18 + -12x + 2x2 = 12x + -12x + -1x2 + x2 Combine like terms: 12x + -12x = 0 18 + -12x + 2x2 = 0 + -1x2 + x2 18 + -12x + 2x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 18 + -12x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(9 + -6x + x2) = 0 Factor a trinomial. 2((3 + -1x)(3 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {3, 3}
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