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Simplifying 3m2 + -2m = 4m2 + 5m + 10 Reorder the terms: -2m + 3m2 = 4m2 + 5m + 10 Reorder the terms: -2m + 3m2 = 10 + 5m + 4m2 Solving -2m + 3m2 = 10 + 5m + 4m2 Solving for variable 'm'. Reorder the terms: -10 + -2m + -5m + 3m2 + -4m2 = 10 + 5m + 4m2 + -10 + -5m + -4m2 Combine like terms: -2m + -5m = -7m -10 + -7m + 3m2 + -4m2 = 10 + 5m + 4m2 + -10 + -5m + -4m2 Combine like terms: 3m2 + -4m2 = -1m2 -10 + -7m + -1m2 = 10 + 5m + 4m2 + -10 + -5m + -4m2 Reorder the terms: -10 + -7m + -1m2 = 10 + -10 + 5m + -5m + 4m2 + -4m2 Combine like terms: 10 + -10 = 0 -10 + -7m + -1m2 = 0 + 5m + -5m + 4m2 + -4m2 -10 + -7m + -1m2 = 5m + -5m + 4m2 + -4m2 Combine like terms: 5m + -5m = 0 -10 + -7m + -1m2 = 0 + 4m2 + -4m2 -10 + -7m + -1m2 = 4m2 + -4m2 Combine like terms: 4m2 + -4m2 = 0 -10 + -7m + -1m2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(10 + 7m + m2) = 0 Factor a trinomial. -1((5 + m)(2 + m)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(5 + m)' equal to zero and attempt to solve: Simplifying 5 + m = 0 Solving 5 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + m = 0 + -5 m = 0 + -5 Combine like terms: 0 + -5 = -5 m = -5 Simplifying m = -5Subproblem 2
Set the factor '(2 + m)' equal to zero and attempt to solve: Simplifying 2 + m = 0 Solving 2 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + m = 0 + -2 m = 0 + -2 Combine like terms: 0 + -2 = -2 m = -2 Simplifying m = -2Solution
m = {-5, -2}
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