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Simplifying -4m(6 + m) + 2m(4m + 2) = 0 (6 * -4m + m * -4m) + 2m(4m + 2) = 0 (-24m + -4m2) + 2m(4m + 2) = 0 Reorder the terms: -24m + -4m2 + 2m(2 + 4m) = 0 -24m + -4m2 + (2 * 2m + 4m * 2m) = 0 -24m + -4m2 + (4m + 8m2) = 0 Reorder the terms: -24m + 4m + -4m2 + 8m2 = 0 Combine like terms: -24m + 4m = -20m -20m + -4m2 + 8m2 = 0 Combine like terms: -4m2 + 8m2 = 4m2 -20m + 4m2 = 0 Solving -20m + 4m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4m'. 4m(-5 + m) = 0 Ignore the factor 4.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 '(-5 + m)' equal to zero and attempt to solve: Simplifying -5 + m = 0 Solving -5 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + m = 0 + 5 m = 0 + 5 Combine like terms: 0 + 5 = 5 m = 5 Simplifying m = 5Solution
m = {0, 5}
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