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Simplifying 144 = 2x2 + 4x + 6x + 12 Reorder the terms: 144 = 12 + 4x + 6x + 2x2 Combine like terms: 4x + 6x = 10x 144 = 12 + 10x + 2x2 Solving 144 = 12 + 10x + 2x2 Solving for variable 'x'. Combine like terms: 144 + -12 = 132 132 + -10x + -2x2 = 12 + 10x + 2x2 + -12 + -10x + -2x2 Reorder the terms: 132 + -10x + -2x2 = 12 + -12 + 10x + -10x + 2x2 + -2x2 Combine like terms: 12 + -12 = 0 132 + -10x + -2x2 = 0 + 10x + -10x + 2x2 + -2x2 132 + -10x + -2x2 = 10x + -10x + 2x2 + -2x2 Combine like terms: 10x + -10x = 0 132 + -10x + -2x2 = 0 + 2x2 + -2x2 132 + -10x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 132 + -10x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(66 + -5x + -1x2) = 0 Factor a trinomial. 2((6 + -1x)(11 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11Solution
x = {6, -11}
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