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Simplifying 5x2 + 100x = -180 Reorder the terms: 100x + 5x2 = -180 Solving 100x + 5x2 = -180 Solving for variable 'x'. Reorder the terms: 180 + 100x + 5x2 = -180 + 180 Combine like terms: -180 + 180 = 0 180 + 100x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(36 + 20x + x2) = 0 Factor a trinomial. 5((18 + x)(2 + x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(18 + x)' equal to zero and attempt to solve: Simplifying 18 + x = 0 Solving 18 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + x = 0 + -18 x = 0 + -18 Combine like terms: 0 + -18 = -18 x = -18 Simplifying x = -18Subproblem 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 = {-18, -2}
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