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Simplifying (2m + -3) = (m2 + -5m + 9) Reorder the terms: (-3 + 2m) = (m2 + -5m + 9) Remove parenthesis around (-3 + 2m) -3 + 2m = (m2 + -5m + 9) Reorder the terms: -3 + 2m = (9 + -5m + m2) Remove parenthesis around (9 + -5m + m2) -3 + 2m = 9 + -5m + m2 Solving -3 + 2m = 9 + -5m + m2 Solving for variable 'm'. Reorder the terms: -3 + -9 + 2m + 5m + -1m2 = 9 + -5m + m2 + -9 + 5m + -1m2 Combine like terms: -3 + -9 = -12 -12 + 2m + 5m + -1m2 = 9 + -5m + m2 + -9 + 5m + -1m2 Combine like terms: 2m + 5m = 7m -12 + 7m + -1m2 = 9 + -5m + m2 + -9 + 5m + -1m2 Reorder the terms: -12 + 7m + -1m2 = 9 + -9 + -5m + 5m + m2 + -1m2 Combine like terms: 9 + -9 = 0 -12 + 7m + -1m2 = 0 + -5m + 5m + m2 + -1m2 -12 + 7m + -1m2 = -5m + 5m + m2 + -1m2 Combine like terms: -5m + 5m = 0 -12 + 7m + -1m2 = 0 + m2 + -1m2 -12 + 7m + -1m2 = m2 + -1m2 Combine like terms: m2 + -1m2 = 0 -12 + 7m + -1m2 = 0 Factor a trinomial. (-4 + m)(3 + -1m) = 0Subproblem 1
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 = 4Subproblem 2
Set the factor '(3 + -1m)' equal to zero and attempt to solve: Simplifying 3 + -1m = 0 Solving 3 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 0 + -3 -1m = 0 + -3 Combine like terms: 0 + -3 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3Solution
m = {4, 3}
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