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Simplifying 3(m * m) + 5m = (m * m) + -7m + -18 Multiply m * m 3(m2) + 5m = (m * m) + -7m + -18 Reorder the terms: 5m + 3m2 = (m * m) + -7m + -18 Multiply m * m 5m + 3m2 = (m2) + -7m + -18 5m + 3m2 = m2 + -7m + -18 Reorder the terms: 5m + 3m2 = -18 + -7m + m2 Solving 5m + 3m2 = -18 + -7m + m2 Solving for variable 'm'. Reorder the terms: 18 + 5m + 7m + 3m2 + -1m2 = -18 + -7m + m2 + 18 + 7m + -1m2 Combine like terms: 5m + 7m = 12m 18 + 12m + 3m2 + -1m2 = -18 + -7m + m2 + 18 + 7m + -1m2 Combine like terms: 3m2 + -1m2 = 2m2 18 + 12m + 2m2 = -18 + -7m + m2 + 18 + 7m + -1m2 Reorder the terms: 18 + 12m + 2m2 = -18 + 18 + -7m + 7m + m2 + -1m2 Combine like terms: -18 + 18 = 0 18 + 12m + 2m2 = 0 + -7m + 7m + m2 + -1m2 18 + 12m + 2m2 = -7m + 7m + m2 + -1m2 Combine like terms: -7m + 7m = 0 18 + 12m + 2m2 = 0 + m2 + -1m2 18 + 12m + 2m2 = m2 + -1m2 Combine like terms: m2 + -1m2 = 0 18 + 12m + 2m2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(9 + 6m + m2) = 0 Factor a trinomial. 2((3 + m)(3 + m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + m)' equal to zero and attempt to solve: Simplifying 3 + m = 0 Solving 3 + m = 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 + m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + m = 0 + -3 m = 0 + -3 Combine like terms: 0 + -3 = -3 m = -3 Simplifying m = -3Subproblem 2
Set the factor '(3 + m)' equal to zero and attempt to solve: Simplifying 3 + m = 0 Solving 3 + m = 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 + m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + m = 0 + -3 m = 0 + -3 Combine like terms: 0 + -3 = -3 m = -3 Simplifying m = -3Solution
m = {-3, -3}
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