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Simplifying (m + -5)(5m + -1) = (m + -1)(12m + -5) Reorder the terms: (-5 + m)(5m + -1) = (m + -1)(12m + -5) Reorder the terms: (-5 + m)(-1 + 5m) = (m + -1)(12m + -5) Multiply (-5 + m) * (-1 + 5m) (-5(-1 + 5m) + m(-1 + 5m)) = (m + -1)(12m + -5) ((-1 * -5 + 5m * -5) + m(-1 + 5m)) = (m + -1)(12m + -5) ((5 + -25m) + m(-1 + 5m)) = (m + -1)(12m + -5) (5 + -25m + (-1 * m + 5m * m)) = (m + -1)(12m + -5) (5 + -25m + (-1m + 5m2)) = (m + -1)(12m + -5) Combine like terms: -25m + -1m = -26m (5 + -26m + 5m2) = (m + -1)(12m + -5) Reorder the terms: 5 + -26m + 5m2 = (-1 + m)(12m + -5) Reorder the terms: 5 + -26m + 5m2 = (-1 + m)(-5 + 12m) Multiply (-1 + m) * (-5 + 12m) 5 + -26m + 5m2 = (-1(-5 + 12m) + m(-5 + 12m)) 5 + -26m + 5m2 = ((-5 * -1 + 12m * -1) + m(-5 + 12m)) 5 + -26m + 5m2 = ((5 + -12m) + m(-5 + 12m)) 5 + -26m + 5m2 = (5 + -12m + (-5 * m + 12m * m)) 5 + -26m + 5m2 = (5 + -12m + (-5m + 12m2)) Combine like terms: -12m + -5m = -17m 5 + -26m + 5m2 = (5 + -17m + 12m2) Add '-5' to each side of the equation. 5 + -26m + -5 + 5m2 = 5 + -17m + -5 + 12m2 Reorder the terms: 5 + -5 + -26m + 5m2 = 5 + -17m + -5 + 12m2 Combine like terms: 5 + -5 = 0 0 + -26m + 5m2 = 5 + -17m + -5 + 12m2 -26m + 5m2 = 5 + -17m + -5 + 12m2 Reorder the terms: -26m + 5m2 = 5 + -5 + -17m + 12m2 Combine like terms: 5 + -5 = 0 -26m + 5m2 = 0 + -17m + 12m2 -26m + 5m2 = -17m + 12m2 Solving -26m + 5m2 = -17m + 12m2 Solving for variable 'm'. Reorder the terms: -26m + 17m + 5m2 + -12m2 = -17m + 12m2 + 17m + -12m2 Combine like terms: -26m + 17m = -9m -9m + 5m2 + -12m2 = -17m + 12m2 + 17m + -12m2 Combine like terms: 5m2 + -12m2 = -7m2 -9m + -7m2 = -17m + 12m2 + 17m + -12m2 Reorder the terms: -9m + -7m2 = -17m + 17m + 12m2 + -12m2 Combine like terms: -17m + 17m = 0 -9m + -7m2 = 0 + 12m2 + -12m2 -9m + -7m2 = 12m2 + -12m2 Combine like terms: 12m2 + -12m2 = 0 -9m + -7m2 = 0 Factor out the Greatest Common Factor (GCF), '-1m'. -1m(9 + 7m) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(9 + 7m)' equal to zero and attempt to solve: Simplifying 9 + 7m = 0 Solving 9 + 7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 7m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7m = 0 + -9 7m = 0 + -9 Combine like terms: 0 + -9 = -9 7m = -9 Divide each side by '7'. m = -1.285714286 Simplifying m = -1.285714286Solution
m = {0, -1.285714286}
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