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Simplifying 3(x2 + -2x + 3) + -4(4x + 1) + -1(3x2 + -2x) = 0 Reorder the terms: 3(3 + -2x + x2) + -4(4x + 1) + -1(3x2 + -2x) = 0 (3 * 3 + -2x * 3 + x2 * 3) + -4(4x + 1) + -1(3x2 + -2x) = 0 (9 + -6x + 3x2) + -4(4x + 1) + -1(3x2 + -2x) = 0 Reorder the terms: 9 + -6x + 3x2 + -4(1 + 4x) + -1(3x2 + -2x) = 0 9 + -6x + 3x2 + (1 * -4 + 4x * -4) + -1(3x2 + -2x) = 0 9 + -6x + 3x2 + (-4 + -16x) + -1(3x2 + -2x) = 0 Reorder the terms: 9 + -6x + 3x2 + -4 + -16x + -1(-2x + 3x2) = 0 9 + -6x + 3x2 + -4 + -16x + (-2x * -1 + 3x2 * -1) = 0 9 + -6x + 3x2 + -4 + -16x + (2x + -3x2) = 0 Reorder the terms: 9 + -4 + -6x + -16x + 2x + 3x2 + -3x2 = 0 Combine like terms: 9 + -4 = 5 5 + -6x + -16x + 2x + 3x2 + -3x2 = 0 Combine like terms: -6x + -16x = -22x 5 + -22x + 2x + 3x2 + -3x2 = 0 Combine like terms: -22x + 2x = -20x 5 + -20x + 3x2 + -3x2 = 0 Combine like terms: 3x2 + -3x2 = 0 5 + -20x + 0 = 0 5 + -20x = 0 Solving 5 + -20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -20x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -20x = 0 + -5 -20x = 0 + -5 Combine like terms: 0 + -5 = -5 -20x = -5 Divide each side by '-20'. x = 0.25 Simplifying x = 0.25
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