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Simplifying 5m2 + 60m + 163 = 3 Reorder the terms: 163 + 60m + 5m2 = 3 Solving 163 + 60m + 5m2 = 3 Solving for variable 'm'. Reorder the terms: 163 + -3 + 60m + 5m2 = 3 + -3 Combine like terms: 163 + -3 = 160 160 + 60m + 5m2 = 3 + -3 Combine like terms: 3 + -3 = 0 160 + 60m + 5m2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(32 + 12m + m2) = 0 Factor a trinomial. 5((8 + m)(4 + m)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(8 + m)' equal to zero and attempt to solve: Simplifying 8 + m = 0 Solving 8 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + m = 0 + -8 m = 0 + -8 Combine like terms: 0 + -8 = -8 m = -8 Simplifying m = -8Subproblem 2
Set the factor '(4 + m)' equal to zero and attempt to solve: Simplifying 4 + m = 0 Solving 4 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + m = 0 + -4 m = 0 + -4 Combine like terms: 0 + -4 = -4 m = -4 Simplifying m = -4Solution
m = {-8, -4}
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