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Simplifying 5m2 = 16 + -38m Solving 5m2 = 16 + -38m Solving for variable 'm'. Reorder the terms: -16 + 38m + 5m2 = 16 + -38m + -16 + 38m Reorder the terms: -16 + 38m + 5m2 = 16 + -16 + -38m + 38m Combine like terms: 16 + -16 = 0 -16 + 38m + 5m2 = 0 + -38m + 38m -16 + 38m + 5m2 = -38m + 38m Combine like terms: -38m + 38m = 0 -16 + 38m + 5m2 = 0 Factor a trinomial. (-8 + -1m)(2 + -5m) = 0Subproblem 1
Set the factor '(-8 + -1m)' equal to zero and attempt to solve: Simplifying -8 + -1m = 0 Solving -8 + -1m = 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 + -1m = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1m = 0 + 8 -1m = 0 + 8 Combine like terms: 0 + 8 = 8 -1m = 8 Divide each side by '-1'. m = -8 Simplifying m = -8Subproblem 2
Set the factor '(2 + -5m)' equal to zero and attempt to solve: Simplifying 2 + -5m = 0 Solving 2 + -5m = 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 + -5m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5m = 0 + -2 -5m = 0 + -2 Combine like terms: 0 + -2 = -2 -5m = -2 Divide each side by '-5'. m = 0.4 Simplifying m = 0.4Solution
m = {-8, 0.4}
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