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Simplifying m2 + -6m + 9 = 64 Reorder the terms: 9 + -6m + m2 = 64 Solving 9 + -6m + m2 = 64 Solving for variable 'm'. Reorder the terms: 9 + -64 + -6m + m2 = 64 + -64 Combine like terms: 9 + -64 = -55 -55 + -6m + m2 = 64 + -64 Combine like terms: 64 + -64 = 0 -55 + -6m + m2 = 0 Factor a trinomial. (-5 + -1m)(11 + -1m) = 0Subproblem 1
Set the factor '(-5 + -1m)' equal to zero and attempt to solve: Simplifying -5 + -1m = 0 Solving -5 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1m = 0 + 5 -1m = 0 + 5 Combine like terms: 0 + 5 = 5 -1m = 5 Divide each side by '-1'. m = -5 Simplifying m = -5Subproblem 2
Set the factor '(11 + -1m)' equal to zero and attempt to solve: Simplifying 11 + -1m = 0 Solving 11 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1m = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1m = 0 + -11 -1m = 0 + -11 Combine like terms: 0 + -11 = -11 -1m = -11 Divide each side by '-1'. m = 11 Simplifying m = 11Solution
m = {-5, 11}
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