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Simplifying (7m + -9)(5m + 3) = 0 Reorder the terms: (-9 + 7m)(5m + 3) = 0 Reorder the terms: (-9 + 7m)(3 + 5m) = 0 Multiply (-9 + 7m) * (3 + 5m) (-9(3 + 5m) + 7m * (3 + 5m)) = 0 ((3 * -9 + 5m * -9) + 7m * (3 + 5m)) = 0 ((-27 + -45m) + 7m * (3 + 5m)) = 0 (-27 + -45m + (3 * 7m + 5m * 7m)) = 0 (-27 + -45m + (21m + 35m2)) = 0 Combine like terms: -45m + 21m = -24m (-27 + -24m + 35m2) = 0 Solving -27 + -24m + 35m2 = 0 Solving for variable 'm'. Factor a trinomial. (-3 + -5m)(9 + -7m) = 0Subproblem 1
Set the factor '(-3 + -5m)' equal to zero and attempt to solve: Simplifying -3 + -5m = 0 Solving -3 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5m = 0 + 3 -5m = 0 + 3 Combine like terms: 0 + 3 = 3 -5m = 3 Divide each side by '-5'. m = -0.6 Simplifying m = -0.6Subproblem 2
Set the factor '(9 + -7m)' equal to zero and attempt to solve: Simplifying 9 + -7m = 0 Solving 9 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7m = 0 + -9 -7m = 0 + -9 Combine like terms: 0 + -9 = -9 -7m = -9 Divide each side by '-7'. m = 1.285714286 Simplifying m = 1.285714286Solution
m = {-0.6, 1.285714286}
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