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Simplifying (7m + 8)(4m + 1) = 0 Reorder the terms: (8 + 7m)(4m + 1) = 0 Reorder the terms: (8 + 7m)(1 + 4m) = 0 Multiply (8 + 7m) * (1 + 4m) (8(1 + 4m) + 7m * (1 + 4m)) = 0 ((1 * 8 + 4m * 8) + 7m * (1 + 4m)) = 0 ((8 + 32m) + 7m * (1 + 4m)) = 0 (8 + 32m + (1 * 7m + 4m * 7m)) = 0 (8 + 32m + (7m + 28m2)) = 0 Combine like terms: 32m + 7m = 39m (8 + 39m + 28m2) = 0 Solving 8 + 39m + 28m2 = 0 Solving for variable 'm'. Factor a trinomial. (8 + 7m)(1 + 4m) = 0Subproblem 1
Set the factor '(8 + 7m)' equal to zero and attempt to solve: Simplifying 8 + 7m = 0 Solving 8 + 7m = 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 + 7m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7m = 0 + -8 7m = 0 + -8 Combine like terms: 0 + -8 = -8 7m = -8 Divide each side by '7'. m = -1.142857143 Simplifying m = -1.142857143Subproblem 2
Set the factor '(1 + 4m)' equal to zero and attempt to solve: Simplifying 1 + 4m = 0 Solving 1 + 4m = 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 + 4m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4m = 0 + -1 4m = 0 + -1 Combine like terms: 0 + -1 = -1 4m = -1 Divide each side by '4'. m = -0.25 Simplifying m = -0.25Solution
m = {-1.142857143, -0.25}
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