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Simplifying 5x2 + 5 = -20x + -10 Reorder the terms: 5 + 5x2 = -20x + -10 Reorder the terms: 5 + 5x2 = -10 + -20x Solving 5 + 5x2 = -10 + -20x Solving for variable 'x'. Reorder the terms: 5 + 10 + 20x + 5x2 = -10 + -20x + 10 + 20x Combine like terms: 5 + 10 = 15 15 + 20x + 5x2 = -10 + -20x + 10 + 20x Reorder the terms: 15 + 20x + 5x2 = -10 + 10 + -20x + 20x Combine like terms: -10 + 10 = 0 15 + 20x + 5x2 = 0 + -20x + 20x 15 + 20x + 5x2 = -20x + 20x Combine like terms: -20x + 20x = 0 15 + 20x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(3 + 4x + x2) = 0 Factor a trinomial. 5((3 + x)(1 + x)) = 0 Ignore the factor 5.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 '(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 = {-3, -1}
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