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Simplifying 6x2 + (4n + -3m) * x + -2mn = 0 Reorder the terms: 6x2 + (-3m + 4n) * x + -2mn = 0 Reorder the terms for easier multiplication: 6x2 + x(-3m + 4n) + -2mn = 0 6x2 + (-3m * x + 4n * x) + -2mn = 0 6x2 + (-3mx + 4nx) + -2mn = 0 Reorder the terms: -2mn + -3mx + 4nx + 6x2 = 0 Solving -2mn + -3mx + 4nx + 6x2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4nx' to each side of the equation. -2mn + -3mx + 4nx + -4nx + 6x2 = 0 + -4nx Combine like terms: 4nx + -4nx = 0 -2mn + -3mx + 0 + 6x2 = 0 + -4nx -2mn + -3mx + 6x2 = 0 + -4nx Remove the zero: -2mn + -3mx + 6x2 = -4nx Add '-6x2' to each side of the equation. -2mn + -3mx + 6x2 + -6x2 = -4nx + -6x2 Combine like terms: 6x2 + -6x2 = 0 -2mn + -3mx + 0 = -4nx + -6x2 -2mn + -3mx = -4nx + -6x2 Reorder the terms: -2mn + -3mx + 4nx + 6x2 = -4nx + 4nx + -6x2 + 6x2 Combine like terms: -4nx + 4nx = 0 -2mn + -3mx + 4nx + 6x2 = 0 + -6x2 + 6x2 -2mn + -3mx + 4nx + 6x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 -2mn + -3mx + 4nx + 6x2 = 0 The solution to this equation could not be determined.
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