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Simplifying 10m(m + 2) + 2m(m + 1) = m Reorder the terms: 10m(2 + m) + 2m(m + 1) = m (2 * 10m + m * 10m) + 2m(m + 1) = m (20m + 10m2) + 2m(m + 1) = m Reorder the terms: 20m + 10m2 + 2m(1 + m) = m 20m + 10m2 + (1 * 2m + m * 2m) = m 20m + 10m2 + (2m + 2m2) = m Reorder the terms: 20m + 2m + 10m2 + 2m2 = m Combine like terms: 20m + 2m = 22m 22m + 10m2 + 2m2 = m Combine like terms: 10m2 + 2m2 = 12m2 22m + 12m2 = m Solving 22m + 12m2 = m Solving for variable 'm'. Reorder the terms: 22m + -1m + 12m2 = m + -1m Combine like terms: 22m + -1m = 21m 21m + 12m2 = m + -1m Combine like terms: m + -1m = 0 21m + 12m2 = 0 Factor out the Greatest Common Factor (GCF), '3m'. 3m(7 + 4m) = 0 Ignore the factor 3.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 '(7 + 4m)' equal to zero and attempt to solve: Simplifying 7 + 4m = 0 Solving 7 + 4m = 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 + 4m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4m = 0 + -7 4m = 0 + -7 Combine like terms: 0 + -7 = -7 4m = -7 Divide each side by '4'. m = -1.75 Simplifying m = -1.75Solution
m = {0, -1.75}
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