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Simplifying (-7m + 2)(8m + -3) = 0 Reorder the terms: (2 + -7m)(8m + -3) = 0 Reorder the terms: (2 + -7m)(-3 + 8m) = 0 Multiply (2 + -7m) * (-3 + 8m) (2(-3 + 8m) + -7m * (-3 + 8m)) = 0 ((-3 * 2 + 8m * 2) + -7m * (-3 + 8m)) = 0 ((-6 + 16m) + -7m * (-3 + 8m)) = 0 (-6 + 16m + (-3 * -7m + 8m * -7m)) = 0 (-6 + 16m + (21m + -56m2)) = 0 Combine like terms: 16m + 21m = 37m (-6 + 37m + -56m2) = 0 Solving -6 + 37m + -56m2 = 0 Solving for variable 'm'. Factor a trinomial. (-3 + 8m)(2 + -7m) = 0Subproblem 1
Set the factor '(-3 + 8m)' equal to zero and attempt to solve: Simplifying -3 + 8m = 0 Solving -3 + 8m = 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 + 8m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 8m = 0 + 3 8m = 0 + 3 Combine like terms: 0 + 3 = 3 8m = 3 Divide each side by '8'. m = 0.375 Simplifying m = 0.375Subproblem 2
Set the factor '(2 + -7m)' equal to zero and attempt to solve: Simplifying 2 + -7m = 0 Solving 2 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7m = 0 + -2 -7m = 0 + -2 Combine like terms: 0 + -2 = -2 -7m = -2 Divide each side by '-7'. m = 0.2857142857 Simplifying m = 0.2857142857Solution
m = {0.375, 0.2857142857}
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