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Simplifying 8m2 + -3m2 = 15m + 7m Combine like terms: 8m2 + -3m2 = 5m2 5m2 = 15m + 7m Combine like terms: 15m + 7m = 22m 5m2 = 22m Solving 5m2 = 22m Solving for variable 'm'. Reorder the terms: -22m + 5m2 = 22m + -22m Combine like terms: 22m + -22m = 0 -22m + 5m2 = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(-22 + 5m) = 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 '(-22 + 5m)' equal to zero and attempt to solve: Simplifying -22 + 5m = 0 Solving -22 + 5m = 0 Move all terms containing m to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 5m = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 5m = 0 + 22 5m = 0 + 22 Combine like terms: 0 + 22 = 22 5m = 22 Divide each side by '5'. m = 4.4 Simplifying m = 4.4Solution
m = {0, 4.4}
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