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Simplifying 2x2 + 20x = -18 Reorder the terms: 20x + 2x2 = -18 Solving 20x + 2x2 = -18 Solving for variable 'x'. Reorder the terms: 18 + 20x + 2x2 = -18 + 18 Combine like terms: -18 + 18 = 0 18 + 20x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(9 + 10x + x2) = 0 Factor a trinomial. 2((9 + x)(1 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-9, -1}
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