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Simplifying 0 = 3x2 + 6x + -144 Reorder the terms: 0 = -144 + 6x + 3x2 Solving 0 = -144 + 6x + 3x2 Solving for variable 'x'. Combine like terms: 0 + 144 = 144 144 + -6x + -3x2 = -144 + 6x + 3x2 + 144 + -6x + -3x2 Reorder the terms: 144 + -6x + -3x2 = -144 + 144 + 6x + -6x + 3x2 + -3x2 Combine like terms: -144 + 144 = 0 144 + -6x + -3x2 = 0 + 6x + -6x + 3x2 + -3x2 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((6 + -1x)(8 + x)) = 0 Ignore the factor 3.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 '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 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 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {6, -8}
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