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Simplifying 4m(2m + -3) + 2(3m + -1m) = 0 Reorder the terms: 4m(-3 + 2m) + 2(3m + -1m) = 0 (-3 * 4m + 2m * 4m) + 2(3m + -1m) = 0 (-12m + 8m2) + 2(3m + -1m) = 0 Combine like terms: 3m + -1m = 2m -12m + 8m2 + 2(2m) = 0 Remove parenthesis around (2m) -12m + 8m2 + 2 * 2m = 0 Multiply 2 * 2 -12m + 8m2 + 4m = 0 Reorder the terms: -12m + 4m + 8m2 = 0 Combine like terms: -12m + 4m = -8m -8m + 8m2 = 0 Solving -8m + 8m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '8m'. 8m(-1 + m) = 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 + m)' equal to zero and attempt to solve: Simplifying -1 + m = 0 Solving -1 + m = 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 + m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + m = 0 + 1 m = 0 + 1 Combine like terms: 0 + 1 = 1 m = 1 Simplifying m = 1Solution
m = {0, 1}
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