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Simplifying 28m2 = 8m Solving 28m2 = 8m Solving for variable 'm'. Reorder the terms: -8m + 28m2 = 8m + -8m Combine like terms: 8m + -8m = 0 -8m + 28m2 = 0 Factor out the Greatest Common Factor (GCF), '4m'. 4m(-2 + 7m) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(-2 + 7m)' equal to zero and attempt to solve: Simplifying -2 + 7m = 0 Solving -2 + 7m = 0 Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 7m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7m = 0 + 2 7m = 0 + 2 Combine like terms: 0 + 2 = 2 7m = 2 Divide each side by '7'. m = 0.2857142857 Simplifying m = 0.2857142857Solution
m = {0, 0.2857142857}
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