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Simplifying (6m + -1)(m + -7) = 0 Reorder the terms: (-1 + 6m)(m + -7) = 0 Reorder the terms: (-1 + 6m)(-7 + m) = 0 Multiply (-1 + 6m) * (-7 + m) (-1(-7 + m) + 6m * (-7 + m)) = 0 ((-7 * -1 + m * -1) + 6m * (-7 + m)) = 0 ((7 + -1m) + 6m * (-7 + m)) = 0 (7 + -1m + (-7 * 6m + m * 6m)) = 0 (7 + -1m + (-42m + 6m2)) = 0 Combine like terms: -1m + -42m = -43m (7 + -43m + 6m2) = 0 Solving 7 + -43m + 6m2 = 0 Solving for variable 'm'. Factor a trinomial. (1 + -6m)(7 + -1m) = 0Subproblem 1
Set the factor '(1 + -6m)' equal to zero and attempt to solve: Simplifying 1 + -6m = 0 Solving 1 + -6m = 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 + -6m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6m = 0 + -1 -6m = 0 + -1 Combine like terms: 0 + -1 = -1 -6m = -1 Divide each side by '-6'. m = 0.1666666667 Simplifying m = 0.1666666667Subproblem 2
Set the factor '(7 + -1m)' equal to zero and attempt to solve: Simplifying 7 + -1m = 0 Solving 7 + -1m = 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 + -1m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = 0 + -7 -1m = 0 + -7 Combine like terms: 0 + -7 = -7 -1m = -7 Divide each side by '-1'. m = 7 Simplifying m = 7Solution
m = {0.1666666667, 7}
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