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Simplifying (2x2 + -8x + 3) + (2x2 + -8x + -4) + -1(4x2 + 3x + 4) = 0 Reorder the terms: (3 + -8x + 2x2) + (2x2 + -8x + -4) + -1(4x2 + 3x + 4) = 0 Remove parenthesis around (3 + -8x + 2x2) 3 + -8x + 2x2 + (2x2 + -8x + -4) + -1(4x2 + 3x + 4) = 0 Reorder the terms: 3 + -8x + 2x2 + (-4 + -8x + 2x2) + -1(4x2 + 3x + 4) = 0 Remove parenthesis around (-4 + -8x + 2x2) 3 + -8x + 2x2 + -4 + -8x + 2x2 + -1(4x2 + 3x + 4) = 0 Reorder the terms: 3 + -8x + 2x2 + -4 + -8x + 2x2 + -1(4 + 3x + 4x2) = 0 3 + -8x + 2x2 + -4 + -8x + 2x2 + (4 * -1 + 3x * -1 + 4x2 * -1) = 0 3 + -8x + 2x2 + -4 + -8x + 2x2 + (-4 + -3x + -4x2) = 0 Reorder the terms: 3 + -4 + -4 + -8x + -8x + -3x + 2x2 + 2x2 + -4x2 = 0 Combine like terms: 3 + -4 = -1 -1 + -4 + -8x + -8x + -3x + 2x2 + 2x2 + -4x2 = 0 Combine like terms: -1 + -4 = -5 -5 + -8x + -8x + -3x + 2x2 + 2x2 + -4x2 = 0 Combine like terms: -8x + -8x = -16x -5 + -16x + -3x + 2x2 + 2x2 + -4x2 = 0 Combine like terms: -16x + -3x = -19x -5 + -19x + 2x2 + 2x2 + -4x2 = 0 Combine like terms: 2x2 + 2x2 = 4x2 -5 + -19x + 4x2 + -4x2 = 0 Combine like terms: 4x2 + -4x2 = 0 -5 + -19x + 0 = 0 -5 + -19x = 0 Solving -5 + -19x = 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 + -19x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -19x = 0 + 5 -19x = 0 + 5 Combine like terms: 0 + 5 = 5 -19x = 5 Divide each side by '-19'. x = -0.2631578947 Simplifying x = -0.2631578947
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