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Simplifying (5m + 6)(m + -6) = 0 Reorder the terms: (6 + 5m)(m + -6) = 0 Reorder the terms: (6 + 5m)(-6 + m) = 0 Multiply (6 + 5m) * (-6 + m) (6(-6 + m) + 5m * (-6 + m)) = 0 ((-6 * 6 + m * 6) + 5m * (-6 + m)) = 0 ((-36 + 6m) + 5m * (-6 + m)) = 0 (-36 + 6m + (-6 * 5m + m * 5m)) = 0 (-36 + 6m + (-30m + 5m2)) = 0 Combine like terms: 6m + -30m = -24m (-36 + -24m + 5m2) = 0 Solving -36 + -24m + 5m2 = 0 Solving for variable 'm'. Factor a trinomial. (-6 + -5m)(6 + -1m) = 0Subproblem 1
Set the factor '(-6 + -5m)' equal to zero and attempt to solve: Simplifying -6 + -5m = 0 Solving -6 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -5m = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5m = 0 + 6 -5m = 0 + 6 Combine like terms: 0 + 6 = 6 -5m = 6 Divide each side by '-5'. m = -1.2 Simplifying m = -1.2Subproblem 2
Set the factor '(6 + -1m)' equal to zero and attempt to solve: Simplifying 6 + -1m = 0 Solving 6 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1m = 0 + -6 -1m = 0 + -6 Combine like terms: 0 + -6 = -6 -1m = -6 Divide each side by '-1'. m = 6 Simplifying m = 6Solution
m = {-1.2, 6}
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