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Simplifying m2x + -3m2 = 12m2 Reorder the terms: -3m2 + m2x = 12m2 Solving -3m2 + m2x = 12m2 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m2' to each side of the equation. -3m2 + -12m2 + m2x = 12m2 + -12m2 Combine like terms: -3m2 + -12m2 = -15m2 -15m2 + m2x = 12m2 + -12m2 Combine like terms: 12m2 + -12m2 = 0 -15m2 + m2x = 0 Factor out the Greatest Common Factor (GCF), 'm2'. m2(-15 + x) = 0Subproblem 1
Set the factor 'm2' equal to zero and attempt to solve: Simplifying m2 = 0 Solving m2 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m2 = 0 Take the square root of each side: m = {0}Subproblem 2
Set the factor '(-15 + x)' equal to zero and attempt to solve: Simplifying -15 + x = 0 Solving -15 + x = 0 Move all terms containing m to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + x = 0 + 15 x = 0 + 15 Combine like terms: 0 + 15 = 15 x = 15 Add '-1x' to each side of the equation. x + -1x = 15 + -1x Combine like terms: x + -1x = 0 0 = 15 + -1x Simplifying 0 = 15 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
m = {0}
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