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Simplifying 7m + 1 = m2 + 13 Reorder the terms: 1 + 7m = m2 + 13 Reorder the terms: 1 + 7m = 13 + m2 Solving 1 + 7m = 13 + m2 Solving for variable 'm'. Reorder the terms: 1 + -13 + 7m + -1m2 = 13 + m2 + -13 + -1m2 Combine like terms: 1 + -13 = -12 -12 + 7m + -1m2 = 13 + m2 + -13 + -1m2 Reorder the terms: -12 + 7m + -1m2 = 13 + -13 + m2 + -1m2 Combine like terms: 13 + -13 = 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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