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Simplifying (4m + 3)(m + -3) = 0 Reorder the terms: (3 + 4m)(m + -3) = 0 Reorder the terms: (3 + 4m)(-3 + m) = 0 Multiply (3 + 4m) * (-3 + m) (3(-3 + m) + 4m * (-3 + m)) = 0 ((-3 * 3 + m * 3) + 4m * (-3 + m)) = 0 ((-9 + 3m) + 4m * (-3 + m)) = 0 (-9 + 3m + (-3 * 4m + m * 4m)) = 0 (-9 + 3m + (-12m + 4m2)) = 0 Combine like terms: 3m + -12m = -9m (-9 + -9m + 4m2) = 0 Solving -9 + -9m + 4m2 = 0 Solving for variable 'm'. Factor a trinomial. (-3 + -4m)(3 + -1m) = 0Subproblem 1
Set the factor '(-3 + -4m)' equal to zero and attempt to solve: Simplifying -3 + -4m = 0 Solving -3 + -4m = 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 + -4m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4m = 0 + 3 -4m = 0 + 3 Combine like terms: 0 + 3 = 3 -4m = 3 Divide each side by '-4'. m = -0.75 Simplifying m = -0.75Subproblem 2
Set the factor '(3 + -1m)' equal to zero and attempt to solve: Simplifying 3 + -1m = 0 Solving 3 + -1m = 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 + -1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 0 + -3 -1m = 0 + -3 Combine like terms: 0 + -3 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3Solution
m = {-0.75, 3}
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