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Simplifying -2m2 + 8m + 4 = 4 Reorder the terms: 4 + 8m + -2m2 = 4 Add '-4' to each side of the equation. 4 + 8m + -4 + -2m2 = 4 + -4 Reorder the terms: 4 + -4 + 8m + -2m2 = 4 + -4 Combine like terms: 4 + -4 = 0 0 + 8m + -2m2 = 4 + -4 8m + -2m2 = 4 + -4 Combine like terms: 4 + -4 = 0 8m + -2m2 = 0 Solving 8m + -2m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2m'. 2m(4 + -1m) = 0 Ignore the factor 2.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 '(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 = {0, 4}
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