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Simplifying m2 = 6m + 7 Reorder the terms: m2 = 7 + 6m Solving m2 = 7 + 6m Solving for variable 'm'. Reorder the terms: -7 + -6m + m2 = 7 + 6m + -7 + -6m Reorder the terms: -7 + -6m + m2 = 7 + -7 + 6m + -6m Combine like terms: 7 + -7 = 0 -7 + -6m + m2 = 0 + 6m + -6m -7 + -6m + m2 = 6m + -6m Combine like terms: 6m + -6m = 0 -7 + -6m + m2 = 0 Factor a trinomial. (-1 + -1m)(7 + -1m) = 0Subproblem 1
Set the factor '(-1 + -1m)' equal to zero and attempt to solve: Simplifying -1 + -1m = 0 Solving -1 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1m = 0 + 1 -1m = 0 + 1 Combine like terms: 0 + 1 = 1 -1m = 1 Divide each side by '-1'. m = -1 Simplifying m = -1Subproblem 2
Set the factor '(7 + -1m)' equal to zero and attempt to solve: Simplifying 7 + -1m = 0 Solving 7 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = 0 + -7 -1m = 0 + -7 Combine like terms: 0 + -7 = -7 -1m = -7 Divide each side by '-1'. m = 7 Simplifying m = 7Solution
m = {-1, 7}
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