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Simplifying (8m + 7)(8m + 7) = 0 Reorder the terms: (7 + 8m)(8m + 7) = 0 Reorder the terms: (7 + 8m)(7 + 8m) = 0 Multiply (7 + 8m) * (7 + 8m) (7(7 + 8m) + 8m * (7 + 8m)) = 0 ((7 * 7 + 8m * 7) + 8m * (7 + 8m)) = 0 ((49 + 56m) + 8m * (7 + 8m)) = 0 (49 + 56m + (7 * 8m + 8m * 8m)) = 0 (49 + 56m + (56m + 64m2)) = 0 Combine like terms: 56m + 56m = 112m (49 + 112m + 64m2) = 0 Solving 49 + 112m + 64m2 = 0 Solving for variable 'm'. Factor a trinomial. (7 + 8m)(7 + 8m) = 0Subproblem 1
Set the factor '(7 + 8m)' equal to zero and attempt to solve: Simplifying 7 + 8m = 0 Solving 7 + 8m = 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 + 8m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8m = 0 + -7 8m = 0 + -7 Combine like terms: 0 + -7 = -7 8m = -7 Divide each side by '8'. m = -0.875 Simplifying m = -0.875Subproblem 2
Set the factor '(7 + 8m)' equal to zero and attempt to solve: Simplifying 7 + 8m = 0 Solving 7 + 8m = 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 + 8m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8m = 0 + -7 8m = 0 + -7 Combine like terms: 0 + -7 = -7 8m = -7 Divide each side by '8'. m = -0.875 Simplifying m = -0.875Solution
m = {-0.875, -0.875}
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