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Simplifying 9m2 + 16m + 64 = 8m2 Reorder the terms: 64 + 16m + 9m2 = 8m2 Solving 64 + 16m + 9m2 = 8m2 Solving for variable 'm'. Combine like terms: 9m2 + -8m2 = 1m2 64 + 16m + 1m2 = 8m2 + -8m2 Combine like terms: 8m2 + -8m2 = 0 64 + 16m + 1m2 = 0 Factor a trinomial. (8 + m)(8 + m) = 0Subproblem 1
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 = -8Subproblem 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 = {-8, -8}
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