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Simplifying 4m2 + -56m + 52 = 0 Reorder the terms: 52 + -56m + 4m2 = 0 Solving 52 + -56m + 4m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4'. 4(13 + -14m + m2) = 0 Factor a trinomial. 4((1 + -1m)(13 + -1m)) = 0 Ignore the factor 4.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 '(13 + -1m)' equal to zero and attempt to solve: Simplifying 13 + -1m = 0 Solving 13 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1m = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1m = 0 + -13 -1m = 0 + -13 Combine like terms: 0 + -13 = -13 -1m = -13 Divide each side by '-1'. m = 13 Simplifying m = 13Solution
m = {1, 13}
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