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