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Simplifying -10 = 5m2 + 51m Reorder the terms: -10 = 51m + 5m2 Solving -10 = 51m + 5m2 Solving for variable 'm'. Reorder the terms: -10 + -51m + -5m2 = 51m + -51m + 5m2 + -5m2 Combine like terms: 51m + -51m = 0 -10 + -51m + -5m2 = 0 + 5m2 + -5m2 -10 + -51m + -5m2 = 5m2 + -5m2 Combine like terms: 5m2 + -5m2 = 0 -10 + -51m + -5m2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(10 + 51m + 5m2) = 0 Factor a trinomial. -1((10 + m)(1 + 5m)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(10 + m)' equal to zero and attempt to solve: Simplifying 10 + m = 0 Solving 10 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + m = 0 + -10 m = 0 + -10 Combine like terms: 0 + -10 = -10 m = -10 Simplifying m = -10Subproblem 2
Set the factor '(1 + 5m)' equal to zero and attempt to solve: Simplifying 1 + 5m = 0 Solving 1 + 5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5m = 0 + -1 5m = 0 + -1 Combine like terms: 0 + -1 = -1 5m = -1 Divide each side by '5'. m = -0.2 Simplifying m = -0.2Solution
m = {-10, -0.2}
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