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Simplifying 10m2 + -54m + 104 = 3m2 + 2m + -8 Reorder the terms: 104 + -54m + 10m2 = 3m2 + 2m + -8 Reorder the terms: 104 + -54m + 10m2 = -8 + 2m + 3m2 Solving 104 + -54m + 10m2 = -8 + 2m + 3m2 Solving for variable 'm'. Reorder the terms: 104 + 8 + -54m + -2m + 10m2 + -3m2 = -8 + 2m + 3m2 + 8 + -2m + -3m2 Combine like terms: 104 + 8 = 112 112 + -54m + -2m + 10m2 + -3m2 = -8 + 2m + 3m2 + 8 + -2m + -3m2 Combine like terms: -54m + -2m = -56m 112 + -56m + 10m2 + -3m2 = -8 + 2m + 3m2 + 8 + -2m + -3m2 Combine like terms: 10m2 + -3m2 = 7m2 112 + -56m + 7m2 = -8 + 2m + 3m2 + 8 + -2m + -3m2 Reorder the terms: 112 + -56m + 7m2 = -8 + 8 + 2m + -2m + 3m2 + -3m2 Combine like terms: -8 + 8 = 0 112 + -56m + 7m2 = 0 + 2m + -2m + 3m2 + -3m2 112 + -56m + 7m2 = 2m + -2m + 3m2 + -3m2 Combine like terms: 2m + -2m = 0 112 + -56m + 7m2 = 0 + 3m2 + -3m2 112 + -56m + 7m2 = 3m2 + -3m2 Combine like terms: 3m2 + -3m2 = 0 112 + -56m + 7m2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(16 + -8m + m2) = 0 Factor a trinomial. 7((4 + -1m)(4 + -1m)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 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 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4Subproblem 2
Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 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 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4Solution
m = {4, 4}
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