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Simplifying m2 + 10m + 13 = -3 Reorder the terms: 13 + 10m + m2 = -3 Solving 13 + 10m + m2 = -3 Solving for variable 'm'. Reorder the terms: 13 + 3 + 10m + m2 = -3 + 3 Combine like terms: 13 + 3 = 16 16 + 10m + m2 = -3 + 3 Combine like terms: -3 + 3 = 0 16 + 10m + m2 = 0 Factor a trinomial. (8 + m)(2 + m) = 0Subproblem 1
Set the factor '(8 + m)' equal to zero and attempt to solve: Simplifying 8 + m = 0 Solving 8 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + m = 0 + -8 m = 0 + -8 Combine like terms: 0 + -8 = -8 m = -8 Simplifying m = -8Subproblem 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 = {-8, -2}
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