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Simplifying 2mx2 + -1(mx + -4x) + -2 = 0 2mx2 + (mx * -1 + -4x * -1) + -2 = 0 2mx2 + (-1mx + 4x) + -2 = 0 Reorder the terms: -2 + -1mx + 2mx2 + 4x = 0 Solving -2 + -1mx + 2mx2 + 4x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -1mx + 2mx2 + 2 + 4x = 0 + 2 Reorder the terms: -2 + 2 + -1mx + 2mx2 + 4x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1mx + 2mx2 + 4x = 0 + 2 -1mx + 2mx2 + 4x = 0 + 2 Combine like terms: 0 + 2 = 2 -1mx + 2mx2 + 4x = 2 Add '-4x' to each side of the equation. -1mx + 2mx2 + 4x + -4x = 2 + -4x Combine like terms: 4x + -4x = 0 -1mx + 2mx2 + 0 = 2 + -4x -1mx + 2mx2 = 2 + -4x Reorder the terms: -2 + -1mx + 2mx2 + 4x = 2 + -4x + -2 + 4x Reorder the terms: -2 + -1mx + 2mx2 + 4x = 2 + -2 + -4x + 4x Combine like terms: 2 + -2 = 0 -2 + -1mx + 2mx2 + 4x = 0 + -4x + 4x -2 + -1mx + 2mx2 + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 -2 + -1mx + 2mx2 + 4x = 0 The solution to this equation could not be determined.
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