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Simplifying m2 = 4m + 77 Reorder the terms: m2 = 77 + 4m Solving m2 = 77 + 4m Solving for variable 'm'. Reorder the terms: -77 + -4m + m2 = 77 + 4m + -77 + -4m Reorder the terms: -77 + -4m + m2 = 77 + -77 + 4m + -4m Combine like terms: 77 + -77 = 0 -77 + -4m + m2 = 0 + 4m + -4m -77 + -4m + m2 = 4m + -4m Combine like terms: 4m + -4m = 0 -77 + -4m + m2 = 0 Factor a trinomial. (-7 + -1m)(11 + -1m) = 0Subproblem 1
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 = -7Subproblem 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 = {-7, 11}
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