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Simplifying 2x(x + 7) + 2 = -18 Reorder the terms: 2x(7 + x) + 2 = -18 (7 * 2x + x * 2x) + 2 = -18 (14x + 2x2) + 2 = -18 Reorder the terms: 2 + 14x + 2x2 = -18 Solving 2 + 14x + 2x2 = -18 Solving for variable 'x'. Reorder the terms: 2 + 18 + 14x + 2x2 = -18 + 18 Combine like terms: 2 + 18 = 20 20 + 14x + 2x2 = -18 + 18 Combine like terms: -18 + 18 = 0 20 + 14x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(10 + 7x + x2) = 0 Factor a trinomial. 2((5 + x)(2 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-5, -2}
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