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Simplifying -4x2 + -4 = 18x + 14 Reorder the terms: -4 + -4x2 = 18x + 14 Reorder the terms: -4 + -4x2 = 14 + 18x Solving -4 + -4x2 = 14 + 18x Solving for variable 'x'. Reorder the terms: -4 + -14 + -18x + -4x2 = 14 + 18x + -14 + -18x Combine like terms: -4 + -14 = -18 -18 + -18x + -4x2 = 14 + 18x + -14 + -18x Reorder the terms: -18 + -18x + -4x2 = 14 + -14 + 18x + -18x Combine like terms: 14 + -14 = 0 -18 + -18x + -4x2 = 0 + 18x + -18x -18 + -18x + -4x2 = 18x + -18x Combine like terms: 18x + -18x = 0 -18 + -18x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(9 + 9x + 2x2) = 0 Factor a trinomial. -2((3 + x)(3 + 2x)) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Solution
x = {-3, -1.5}
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