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Simplifying 2x2 + 5mx + -3m2 = 0 Reorder the terms: 5mx + -3m2 + 2x2 = 0 Solving 5mx + -3m2 + 2x2 = 0 Solving for variable 'm'. Factor a trinomial. (-3m + -1x)(m + -2x) = 0Subproblem 1
Set the factor '(-3m + -1x)' equal to zero and attempt to solve: Simplifying -3m + -1x = 0 Solving -3m + -1x = 0 Move all terms containing m to the left, all other terms to the right. Add 'x' to each side of the equation. -3m + -1x + x = 0 + x Combine like terms: -1x + x = 0 -3m + 0 = 0 + x -3m = 0 + x Remove the zero: -3m = x Divide each side by '-3'. m = -0.3333333333x Simplifying m = -0.3333333333xSubproblem 2
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 = 2xSolution
m = {-0.3333333333x, 2x}
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