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Simplifying (6m + -7)(6m + -7) = 0 Reorder the terms: (-7 + 6m)(6m + -7) = 0 Reorder the terms: (-7 + 6m)(-7 + 6m) = 0 Multiply (-7 + 6m) * (-7 + 6m) (-7(-7 + 6m) + 6m * (-7 + 6m)) = 0 ((-7 * -7 + 6m * -7) + 6m * (-7 + 6m)) = 0 ((49 + -42m) + 6m * (-7 + 6m)) = 0 (49 + -42m + (-7 * 6m + 6m * 6m)) = 0 (49 + -42m + (-42m + 36m2)) = 0 Combine like terms: -42m + -42m = -84m (49 + -84m + 36m2) = 0 Solving 49 + -84m + 36m2 = 0 Solving for variable 'm'. Factor a trinomial. (7 + -6m)(7 + -6m) = 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 '(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 = 1.166666667Solution
m = {1.166666667, 1.166666667}
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