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Simplifying 4m2 + 32 = 24m Reorder the terms: 32 + 4m2 = 24m Solving 32 + 4m2 = 24m Solving for variable 'm'. Reorder the terms: 32 + -24m + 4m2 = 24m + -24m Combine like terms: 24m + -24m = 0 32 + -24m + 4m2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(8 + -6m + m2) = 0 Factor a trinomial. 4((2 + -1m)(4 + -1m)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2Subproblem 2
Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4Solution
m = {2, 4}
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