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Simplifying 16m2 + 2m + -14 = 0 Reorder the terms: -14 + 2m + 16m2 = 0 Solving -14 + 2m + 16m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(-7 + m + 8m2) = 0 Factor a trinomial. 2((-1 + -1m)(7 + -8m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -1m)' equal to zero and attempt to solve: Simplifying -1 + -1m = 0 Solving -1 + -1m = 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 + -1m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1m = 0 + 1 -1m = 0 + 1 Combine like terms: 0 + 1 = 1 -1m = 1 Divide each side by '-1'. m = -1 Simplifying m = -1Subproblem 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 = {-1, 0.875}
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