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Simplifying m(-5 + m) + 5m(8 + -6m) = 0 (-5 * m + m * m) + 5m(8 + -6m) = 0 (-5m + m2) + 5m(8 + -6m) = 0 -5m + m2 + (8 * 5m + -6m * 5m) = 0 -5m + m2 + (40m + -30m2) = 0 Reorder the terms: -5m + 40m + m2 + -30m2 = 0 Combine like terms: -5m + 40m = 35m 35m + m2 + -30m2 = 0 Combine like terms: m2 + -30m2 = -29m2 35m + -29m2 = 0 Solving 35m + -29m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(35 + -29m) = 0Subproblem 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 '(35 + -29m)' equal to zero and attempt to solve: Simplifying 35 + -29m = 0 Solving 35 + -29m = 0 Move all terms containing m to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -29m = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -29m = 0 + -35 -29m = 0 + -35 Combine like terms: 0 + -35 = -35 -29m = -35 Divide each side by '-29'. m = 1.206896552 Simplifying m = 1.206896552Solution
m = {0, 1.206896552}
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