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Simplifying (X2 + -2x) * 2 + -3x2 + 6x = 4 Reorder the terms for easier multiplication: 2(X2 + -2x) + -3x2 + 6x = 4 (X2 * 2 + -2x * 2) + -3x2 + 6x = 4 (2X2 + -4x) + -3x2 + 6x = 4 Reorder the terms: 2X2 + -4x + 6x + -3x2 = 4 Combine like terms: -4x + 6x = 2x 2X2 + 2x + -3x2 = 4 Solving 2X2 + 2x + -3x2 = 4 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2x' to each side of the equation. 2X2 + 2x + -2x + -3x2 = 4 + -2x Combine like terms: 2x + -2x = 0 2X2 + 0 + -3x2 = 4 + -2x 2X2 + -3x2 = 4 + -2x Add '3x2' to each side of the equation. 2X2 + -3x2 + 3x2 = 4 + -2x + 3x2 Combine like terms: -3x2 + 3x2 = 0 2X2 + 0 = 4 + -2x + 3x2 2X2 = 4 + -2x + 3x2 Divide each side by '2'. X2 = 2 + -1x + 1.5x2 Simplifying X2 = 2 + -1x + 1.5x2 Reorder the terms: -2 + X2 + x + -1.5x2 = 2 + -1x + 1.5x2 + -2 + x + -1.5x2 Reorder the terms: -2 + X2 + x + -1.5x2 = 2 + -2 + -1x + x + 1.5x2 + -1.5x2 Combine like terms: 2 + -2 = 0 -2 + X2 + x + -1.5x2 = 0 + -1x + x + 1.5x2 + -1.5x2 -2 + X2 + x + -1.5x2 = -1x + x + 1.5x2 + -1.5x2 Combine like terms: -1x + x = 0 -2 + X2 + x + -1.5x2 = 0 + 1.5x2 + -1.5x2 -2 + X2 + x + -1.5x2 = 1.5x2 + -1.5x2 Combine like terms: 1.5x2 + -1.5x2 = 0.0 -2 + X2 + x + -1.5x2 = 0.0 The solution to this equation could not be determined.
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