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Simplifying x(2x + 14) = -24 Reorder the terms: x(14 + 2x) = -24 (14 * x + 2x * x) = -24 (14x + 2x2) = -24 Solving 14x + 2x2 = -24 Solving for variable 'x'. Reorder the terms: 24 + 14x + 2x2 = -24 + 24 Combine like terms: -24 + 24 = 0 24 + 14x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(12 + 7x + x2) = 0 Factor a trinomial. 2((4 + x)(3 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 2
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 = -3Solution
x = {-4, -3}
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