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Simplifying 5m2 + 140 = -55m Reorder the terms: 140 + 5m2 = -55m Solving 140 + 5m2 = -55m Solving for variable 'm'. Reorder the terms: 140 + 55m + 5m2 = -55m + 55m Combine like terms: -55m + 55m = 0 140 + 55m + 5m2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(28 + 11m + m2) = 0 Factor a trinomial. 5((7 + m)(4 + m)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(7 + m)' equal to zero and attempt to solve: Simplifying 7 + m = 0 Solving 7 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + m = 0 + -7 m = 0 + -7 Combine like terms: 0 + -7 = -7 m = -7 Simplifying m = -7Subproblem 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 = {-7, -4}
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