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Simplifying 2m2 + -64m + 512 = 0 Reorder the terms: 512 + -64m + 2m2 = 0 Solving 512 + -64m + 2m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(256 + -32m + m2) = 0 Factor a trinomial. 2((16 + -1m)(16 + -1m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(16 + -1m)' equal to zero and attempt to solve: Simplifying 16 + -1m = 0 Solving 16 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1m = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1m = 0 + -16 -1m = 0 + -16 Combine like terms: 0 + -16 = -16 -1m = -16 Divide each side by '-1'. m = 16 Simplifying m = 16Subproblem 2
Set the factor '(16 + -1m)' equal to zero and attempt to solve: Simplifying 16 + -1m = 0 Solving 16 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1m = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1m = 0 + -16 -1m = 0 + -16 Combine like terms: 0 + -16 = -16 -1m = -16 Divide each side by '-1'. m = 16 Simplifying m = 16Solution
m = {16, 16}
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