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Simplifying (m + 10)(m + 10) = 0 Reorder the terms: (10 + m)(m + 10) = 0 Reorder the terms: (10 + m)(10 + m) = 0 Multiply (10 + m) * (10 + m) (10(10 + m) + m(10 + m)) = 0 ((10 * 10 + m * 10) + m(10 + m)) = 0 ((100 + 10m) + m(10 + m)) = 0 (100 + 10m + (10 * m + m * m)) = 0 (100 + 10m + (10m + m2)) = 0 Combine like terms: 10m + 10m = 20m (100 + 20m + m2) = 0 Solving 100 + 20m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (10 + m)(10 + m) = 0Subproblem 1
Set the factor '(10 + m)' equal to zero and attempt to solve: Simplifying 10 + m = 0 Solving 10 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + m = 0 + -10 m = 0 + -10 Combine like terms: 0 + -10 = -10 m = -10 Simplifying m = -10Subproblem 2
Set the factor '(10 + m)' equal to zero and attempt to solve: Simplifying 10 + m = 0 Solving 10 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + m = 0 + -10 m = 0 + -10 Combine like terms: 0 + -10 = -10 m = -10 Simplifying m = -10Solution
m = {-10, -10}
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