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Simplifying 80m2 = m(m + 2) Reorder the terms: 80m2 = m(2 + m) 80m2 = (2 * m + m * m) 80m2 = (2m + m2) Solving 80m2 = 2m + m2 Solving for variable 'm'. Reorder the terms: -2m + 80m2 + -1m2 = 2m + m2 + -2m + -1m2 Combine like terms: 80m2 + -1m2 = 79m2 -2m + 79m2 = 2m + m2 + -2m + -1m2 Reorder the terms: -2m + 79m2 = 2m + -2m + m2 + -1m2 Combine like terms: 2m + -2m = 0 -2m + 79m2 = 0 + m2 + -1m2 -2m + 79m2 = m2 + -1m2 Combine like terms: m2 + -1m2 = 0 -2m + 79m2 = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(-2 + 79m) = 0Subproblem 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 + 79m)' equal to zero and attempt to solve: Simplifying -2 + 79m = 0 Solving -2 + 79m = 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 + 79m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 79m = 0 + 2 79m = 0 + 2 Combine like terms: 0 + 2 = 2 79m = 2 Divide each side by '79'. m = 0.0253164557 Simplifying m = 0.0253164557Solution
m = {0, 0.0253164557}
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