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Simplifying (7m + 4)(6m + -3) = 0 Reorder the terms: (4 + 7m)(6m + -3) = 0 Reorder the terms: (4 + 7m)(-3 + 6m) = 0 Multiply (4 + 7m) * (-3 + 6m) (4(-3 + 6m) + 7m * (-3 + 6m)) = 0 ((-3 * 4 + 6m * 4) + 7m * (-3 + 6m)) = 0 ((-12 + 24m) + 7m * (-3 + 6m)) = 0 (-12 + 24m + (-3 * 7m + 6m * 7m)) = 0 (-12 + 24m + (-21m + 42m2)) = 0 Combine like terms: 24m + -21m = 3m (-12 + 3m + 42m2) = 0 Solving -12 + 3m + 42m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3'. 3(-4 + m + 14m2) = 0 Factor a trinomial. 3((-4 + -7m)(1 + -2m)) = 0 Ignore the factor 3.Subproblem 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 + -2m)' equal to zero and attempt to solve: Simplifying 1 + -2m = 0 Solving 1 + -2m = 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 + -2m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2m = 0 + -1 -2m = 0 + -1 Combine like terms: 0 + -1 = -1 -2m = -1 Divide each side by '-2'. m = 0.5 Simplifying m = 0.5Solution
m = {-0.5714285714, 0.5}
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