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Simplifying (m + -5) * m = 66 Reorder the terms: (-5 + m) * m = 66 Reorder the terms for easier multiplication: m(-5 + m) = 66 (-5 * m + m * m) = 66 (-5m + m2) = 66 Solving -5m + m2 = 66 Solving for variable 'm'. Reorder the terms: -66 + -5m + m2 = 66 + -66 Combine like terms: 66 + -66 = 0 -66 + -5m + m2 = 0 Factor a trinomial. (-6 + -1m)(11 + -1m) = 0Subproblem 1
Set the factor '(-6 + -1m)' equal to zero and attempt to solve: Simplifying -6 + -1m = 0 Solving -6 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1m = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1m = 0 + 6 -1m = 0 + 6 Combine like terms: 0 + 6 = 6 -1m = 6 Divide each side by '-1'. m = -6 Simplifying m = -6Subproblem 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 = {-6, 11}
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