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Simplifying 18x2 + 62x + -24 = -4x Reorder the terms: -24 + 62x + 18x2 = -4x Solving -24 + 62x + 18x2 = -4x Solving for variable 'x'. Reorder the terms: -24 + 62x + 4x + 18x2 = -4x + 4x Combine like terms: 62x + 4x = 66x -24 + 66x + 18x2 = -4x + 4x Combine like terms: -4x + 4x = 0 -24 + 66x + 18x2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-4 + 11x + 3x2) = 0 Factor a trinomial. 6((-4 + -1x)(1 + -3x)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 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 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 2
Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333Solution
x = {-4, 0.3333333333}
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