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Simplifying 3m(8m + 8) + -4m(-4m + 8) = 0 Reorder the terms: 3m(8 + 8m) + -4m(-4m + 8) = 0 (8 * 3m + 8m * 3m) + -4m(-4m + 8) = 0 (24m + 24m2) + -4m(-4m + 8) = 0 Reorder the terms: 24m + 24m2 + -4m(8 + -4m) = 0 24m + 24m2 + (8 * -4m + -4m * -4m) = 0 24m + 24m2 + (-32m + 16m2) = 0 Reorder the terms: 24m + -32m + 24m2 + 16m2 = 0 Combine like terms: 24m + -32m = -8m -8m + 24m2 + 16m2 = 0 Combine like terms: 24m2 + 16m2 = 40m2 -8m + 40m2 = 0 Solving -8m + 40m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '8m'. 8m(-1 + 5m) = 0 Ignore the factor 8.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 '(-1 + 5m)' equal to zero and attempt to solve: Simplifying -1 + 5m = 0 Solving -1 + 5m = 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 + 5m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5m = 0 + 1 5m = 0 + 1 Combine like terms: 0 + 1 = 1 5m = 1 Divide each side by '5'. m = 0.2 Simplifying m = 0.2Solution
m = {0, 0.2}
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