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Simplifying 2x2 + -6mx + 12m = 0 Reorder the terms: 12m + -6mx + 2x2 = 0 Solving 12m + -6mx + 2x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2x2' to each side of the equation. 12m + -6mx + 2x2 + -2x2 = 0 + -2x2 Combine like terms: 2x2 + -2x2 = 0 12m + -6mx + 0 = 0 + -2x2 12m + -6mx = 0 + -2x2 Remove the zero: 12m + -6mx = -2x2 Combine like terms: -2x2 + 2x2 = 0 12m + -6mx + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(6m + -3mx + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(6m + -3mx + x2)' equal to zero and attempt to solve: Simplifying 6m + -3mx + x2 = 0 Solving 6m + -3mx + x2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-1x2' to each side of the equation. 6m + -3mx + x2 + -1x2 = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 6m + -3mx + 0 = 0 + -1x2 6m + -3mx = 0 + -1x2 Remove the zero: 6m + -3mx = -1x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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