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Simplifying 5m2 + -128 = 12m Reorder the terms: -128 + 5m2 = 12m Solving -128 + 5m2 = 12m Solving for variable 'm'. Reorder the terms: -128 + -12m + 5m2 = 12m + -12m Combine like terms: 12m + -12m = 0 -128 + -12m + 5m2 = 0 Factor a trinomial. (-4 + -1m)(32 + -5m) = 0Subproblem 1
Set the factor '(-4 + -1m)' equal to zero and attempt to solve: Simplifying -4 + -1m = 0 Solving -4 + -1m = 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 + -1m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1m = 0 + 4 -1m = 0 + 4 Combine like terms: 0 + 4 = 4 -1m = 4 Divide each side by '-1'. m = -4 Simplifying m = -4Subproblem 2
Set the factor '(32 + -5m)' equal to zero and attempt to solve: Simplifying 32 + -5m = 0 Solving 32 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -5m = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -5m = 0 + -32 -5m = 0 + -32 Combine like terms: 0 + -32 = -32 -5m = -32 Divide each side by '-5'. m = 6.4 Simplifying m = 6.4Solution
m = {-4, 6.4}
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