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Simplifying 4m(m + -2) + -3m2 = 0 Reorder the terms: 4m(-2 + m) + -3m2 = 0 (-2 * 4m + m * 4m) + -3m2 = 0 (-8m + 4m2) + -3m2 = 0 Combine like terms: 4m2 + -3m2 = 1m2 -8m + 1m2 = 0 Solving -8m + 1m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(-8 + m) = 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 '(-8 + m)' equal to zero and attempt to solve: Simplifying -8 + m = 0 Solving -8 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + m = 0 + 8 Combine like terms: -8 + 8 = 0 0 + m = 0 + 8 m = 0 + 8 Combine like terms: 0 + 8 = 8 m = 8 Simplifying m = 8Solution
m = {0, 8}
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