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Simplifying (8m + 3)(m + -2) = 0 Reorder the terms: (3 + 8m)(m + -2) = 0 Reorder the terms: (3 + 8m)(-2 + m) = 0 Multiply (3 + 8m) * (-2 + m) (3(-2 + m) + 8m * (-2 + m)) = 0 ((-2 * 3 + m * 3) + 8m * (-2 + m)) = 0 ((-6 + 3m) + 8m * (-2 + m)) = 0 (-6 + 3m + (-2 * 8m + m * 8m)) = 0 (-6 + 3m + (-16m + 8m2)) = 0 Combine like terms: 3m + -16m = -13m (-6 + -13m + 8m2) = 0 Solving -6 + -13m + 8m2 = 0 Solving for variable 'm'. Factor a trinomial. (-3 + -8m)(2 + -1m) = 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 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 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 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2Solution
m = {-0.375, 2}
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