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