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Simplifying (9m + -1)(7m + 4) = 0 Reorder the terms: (-1 + 9m)(7m + 4) = 0 Reorder the terms: (-1 + 9m)(4 + 7m) = 0 Multiply (-1 + 9m) * (4 + 7m) (-1(4 + 7m) + 9m * (4 + 7m)) = 0 ((4 * -1 + 7m * -1) + 9m * (4 + 7m)) = 0 ((-4 + -7m) + 9m * (4 + 7m)) = 0 (-4 + -7m + (4 * 9m + 7m * 9m)) = 0 (-4 + -7m + (36m + 63m2)) = 0 Combine like terms: -7m + 36m = 29m (-4 + 29m + 63m2) = 0 Solving -4 + 29m + 63m2 = 0 Solving for variable 'm'. Factor a trinomial. (-4 + -7m)(1 + -9m) = 0Subproblem 1
Set the factor '(-4 + -7m)' equal to zero and attempt to solve: Simplifying -4 + -7m = 0 Solving -4 + -7m = 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 + -7m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7m = 0 + 4 -7m = 0 + 4 Combine like terms: 0 + 4 = 4 -7m = 4 Divide each side by '-7'. m = -0.5714285714 Simplifying m = -0.5714285714Subproblem 2
Set the factor '(1 + -9m)' equal to zero and attempt to solve: Simplifying 1 + -9m = 0 Solving 1 + -9m = 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 + -9m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9m = 0 + -1 -9m = 0 + -1 Combine like terms: 0 + -1 = -1 -9m = -1 Divide each side by '-9'. m = 0.1111111111 Simplifying m = 0.1111111111Solution
m = {-0.5714285714, 0.1111111111}
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