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Simplifying 6m2 = 42m Solving 6m2 = 42m Solving for variable 'm'. Reorder the terms: -42m + 6m2 = 42m + -42m Combine like terms: 42m + -42m = 0 -42m + 6m2 = 0 Factor out the Greatest Common Factor (GCF), '6m'. 6m(-7 + m) = 0 Ignore the factor 6.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 + m)' equal to zero and attempt to solve: Simplifying -7 + m = 0 Solving -7 + m = 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 + m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + m = 0 + 7 m = 0 + 7 Combine like terms: 0 + 7 = 7 m = 7 Simplifying m = 7Solution
m = {0, 7}
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