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Simplifying 17m = m2 + 66 Reorder the terms: 17m = 66 + m2 Solving 17m = 66 + m2 Solving for variable 'm'. Reorder the terms: -66 + 17m + -1m2 = 66 + m2 + -66 + -1m2 Reorder the terms: -66 + 17m + -1m2 = 66 + -66 + m2 + -1m2 Combine like terms: 66 + -66 = 0 -66 + 17m + -1m2 = 0 + m2 + -1m2 -66 + 17m + -1m2 = m2 + -1m2 Combine like terms: m2 + -1m2 = 0 -66 + 17m + -1m2 = 0 Factor a trinomial. (-11 + m)(6 + -1m) = 0Subproblem 1
Set the factor '(-11 + m)' equal to zero and attempt to solve: Simplifying -11 + m = 0 Solving -11 + m = 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 + m = 0 + 11 Combine like terms: -11 + 11 = 0 0 + m = 0 + 11 m = 0 + 11 Combine like terms: 0 + 11 = 11 m = 11 Simplifying m = 11Subproblem 2
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 = 6Solution
m = {11, 6}
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