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Simplifying 64m2 + 16m + 1 = 0 Reorder the terms: 1 + 16m + 64m2 = 0 Solving 1 + 16m + 64m2 = 0 Solving for variable 'm'. Factor a trinomial. (1 + 8m)(1 + 8m) = 0Subproblem 1
Set the factor '(1 + 8m)' equal to zero and attempt to solve: Simplifying 1 + 8m = 0 Solving 1 + 8m = 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 + 8m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8m = 0 + -1 8m = 0 + -1 Combine like terms: 0 + -1 = -1 8m = -1 Divide each side by '8'. m = -0.125 Simplifying m = -0.125Subproblem 2
Set the factor '(1 + 8m)' equal to zero and attempt to solve: Simplifying 1 + 8m = 0 Solving 1 + 8m = 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 + 8m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8m = 0 + -1 8m = 0 + -1 Combine like terms: 0 + -1 = -1 8m = -1 Divide each side by '8'. m = -0.125 Simplifying m = -0.125Solution
m = {-0.125, -0.125}
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