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Simplifying (9m + -7)(2m + 3) = 0 Reorder the terms: (-7 + 9m)(2m + 3) = 0 Reorder the terms: (-7 + 9m)(3 + 2m) = 0 Multiply (-7 + 9m) * (3 + 2m) (-7(3 + 2m) + 9m * (3 + 2m)) = 0 ((3 * -7 + 2m * -7) + 9m * (3 + 2m)) = 0 ((-21 + -14m) + 9m * (3 + 2m)) = 0 (-21 + -14m + (3 * 9m + 2m * 9m)) = 0 (-21 + -14m + (27m + 18m2)) = 0 Combine like terms: -14m + 27m = 13m (-21 + 13m + 18m2) = 0 Solving -21 + 13m + 18m2 = 0 Solving for variable 'm'. Factor a trinomial. (-3 + -2m)(7 + -9m) = 0Subproblem 1
Set the factor '(-3 + -2m)' equal to zero and attempt to solve: Simplifying -3 + -2m = 0 Solving -3 + -2m = 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 + -2m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2m = 0 + 3 -2m = 0 + 3 Combine like terms: 0 + 3 = 3 -2m = 3 Divide each side by '-2'. m = -1.5 Simplifying m = -1.5Subproblem 2
Set the factor '(7 + -9m)' equal to zero and attempt to solve: Simplifying 7 + -9m = 0 Solving 7 + -9m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -9m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9m = 0 + -7 -9m = 0 + -7 Combine like terms: 0 + -7 = -7 -9m = -7 Divide each side by '-9'. m = 0.7777777778 Simplifying m = 0.7777777778Solution
m = {-1.5, 0.7777777778}
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