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