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Simplifying 28m2 + -100m + -48 = 0 Reorder the terms: -48 + -100m + 28m2 = 0 Solving -48 + -100m + 28m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4'. 4(-12 + -25m + 7m2) = 0 Factor a trinomial. 4((-3 + -7m)(4 + -1m)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-3 + -7m)' equal to zero and attempt to solve: Simplifying -3 + -7m = 0 Solving -3 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -7m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7m = 0 + 3 -7m = 0 + 3 Combine like terms: 0 + 3 = 3 -7m = 3 Divide each side by '-7'. m = -0.4285714286 Simplifying m = -0.4285714286Subproblem 2
Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4Solution
m = {-0.4285714286, 4}
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