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Simplifying m + 24 = m(m + -1) Reorder the terms: 24 + m = m(m + -1) Reorder the terms: 24 + m = m(-1 + m) 24 + m = (-1 * m + m * m) 24 + m = (-1m + m2) Solving 24 + m = -1m + m2 Solving for variable 'm'. Combine like terms: m + m = 2m 24 + 2m + -1m2 = -1m + m2 + m + -1m2 Reorder the terms: 24 + 2m + -1m2 = -1m + m + m2 + -1m2 Combine like terms: -1m + m = 0 24 + 2m + -1m2 = 0 + m2 + -1m2 24 + 2m + -1m2 = m2 + -1m2 Combine like terms: m2 + -1m2 = 0 24 + 2m + -1m2 = 0 Factor a trinomial. (6 + -1m)(4 + m) = 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 '(4 + m)' equal to zero and attempt to solve: Simplifying 4 + m = 0 Solving 4 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + m = 0 + -4 m = 0 + -4 Combine like terms: 0 + -4 = -4 m = -4 Simplifying m = -4Solution
m = {6, -4}
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