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Simplifying 144 = 3x(x + -2) Reorder the terms: 144 = 3x(-2 + x) 144 = (-2 * 3x + x * 3x) 144 = (-6x + 3x2) Solving 144 = -6x + 3x2 Solving for variable 'x'. Reorder the terms: 144 + 6x + -3x2 = -6x + 6x + 3x2 + -3x2 Combine like terms: -6x + 6x = 0 144 + 6x + -3x2 = 0 + 3x2 + -3x2 144 + 6x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 144 + 6x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(48 + 2x + -1x2) = 0 Factor a trinomial. 3((8 + -1x)(6 + x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 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 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {8, -6}
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