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Simplifying 5x2 = -40x + -35 Reorder the terms: 5x2 = -35 + -40x Solving 5x2 = -35 + -40x Solving for variable 'x'. Reorder the terms: 35 + 40x + 5x2 = -35 + -40x + 35 + 40x Reorder the terms: 35 + 40x + 5x2 = -35 + 35 + -40x + 40x Combine like terms: -35 + 35 = 0 35 + 40x + 5x2 = 0 + -40x + 40x 35 + 40x + 5x2 = -40x + 40x Combine like terms: -40x + 40x = 0 35 + 40x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(7 + 8x + x2) = 0 Factor a trinomial. 5((7 + x)(1 + x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Subproblem 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 = {-7, -1}
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