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Simplifying x2 + -3mx + 2m2 = 0 Reorder the terms: -3mx + 2m2 + x2 = 0 Solving -3mx + 2m2 + x2 = 0 Solving for variable 'm'. Factor a trinomial. (m + -1x)(2m + -1x) = 0Subproblem 1
Set the factor '(m + -1x)' equal to zero and attempt to solve: Simplifying m + -1x = 0 Solving m + -1x = 0 Move all terms containing m to the left, all other terms to the right. Add 'x' to each side of the equation. m + -1x + x = 0 + x Combine like terms: -1x + x = 0 m + 0 = 0 + x m = 0 + x Remove the zero: m = x Simplifying m = xSubproblem 2
Set the factor '(2m + -1x)' equal to zero and attempt to solve: Simplifying 2m + -1x = 0 Solving 2m + -1x = 0 Move all terms containing m to the left, all other terms to the right. Add 'x' to each side of the equation. 2m + -1x + x = 0 + x Combine like terms: -1x + x = 0 2m + 0 = 0 + x 2m = 0 + x Remove the zero: 2m = x Divide each side by '2'. m = 0.5x Simplifying m = 0.5xSolution
m = {x, 0.5x}
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