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Simplifying (m + -4)(6m + 7) = 0 Reorder the terms: (-4 + m)(6m + 7) = 0 Reorder the terms: (-4 + m)(7 + 6m) = 0 Multiply (-4 + m) * (7 + 6m) (-4(7 + 6m) + m(7 + 6m)) = 0 ((7 * -4 + 6m * -4) + m(7 + 6m)) = 0 ((-28 + -24m) + m(7 + 6m)) = 0 (-28 + -24m + (7 * m + 6m * m)) = 0 (-28 + -24m + (7m + 6m2)) = 0 Combine like terms: -24m + 7m = -17m (-28 + -17m + 6m2) = 0 Solving -28 + -17m + 6m2 = 0 Solving for variable 'm'. Factor a trinomial. (-7 + -6m)(4 + -1m) = 0Subproblem 1
Set the factor '(-7 + -6m)' equal to zero and attempt to solve: Simplifying -7 + -6m = 0 Solving -7 + -6m = 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 + -6m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6m = 0 + 7 -6m = 0 + 7 Combine like terms: 0 + 7 = 7 -6m = 7 Divide each side by '-6'. m = -1.166666667 Simplifying m = -1.166666667Subproblem 2
Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 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 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4Solution
m = {-1.166666667, 4}
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