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Simplifying (m + -2)(5m + -5) = 0 Reorder the terms: (-2 + m)(5m + -5) = 0 Reorder the terms: (-2 + m)(-5 + 5m) = 0 Multiply (-2 + m) * (-5 + 5m) (-2(-5 + 5m) + m(-5 + 5m)) = 0 ((-5 * -2 + 5m * -2) + m(-5 + 5m)) = 0 ((10 + -10m) + m(-5 + 5m)) = 0 (10 + -10m + (-5 * m + 5m * m)) = 0 (10 + -10m + (-5m + 5m2)) = 0 Combine like terms: -10m + -5m = -15m (10 + -15m + 5m2) = 0 Solving 10 + -15m + 5m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '5'. 5(2 + -3m + m2) = 0 Factor a trinomial. 5((1 + -1m)(2 + -1m)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(1 + -1m)' equal to zero and attempt to solve: Simplifying 1 + -1m = 0 Solving 1 + -1m = 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 + -1m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = 0 + -1 -1m = 0 + -1 Combine like terms: 0 + -1 = -1 -1m = -1 Divide each side by '-1'. m = 1 Simplifying m = 1Subproblem 2
Set the factor '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2Solution
m = {1, 2}
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