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Simplifying 18x2 + 86x + -144 = 2x Reorder the terms: -144 + 86x + 18x2 = 2x Solving -144 + 86x + 18x2 = 2x Solving for variable 'x'. Reorder the terms: -144 + 86x + -2x + 18x2 = 2x + -2x Combine like terms: 86x + -2x = 84x -144 + 84x + 18x2 = 2x + -2x Combine like terms: 2x + -2x = 0 -144 + 84x + 18x2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-24 + 14x + 3x2) = 0 Factor a trinomial. 6((-6 + -1x)(4 + -3x)) = 0 Ignore the factor 6.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 '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Solution
x = {-6, 1.333333333}
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