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Simplifying (4x2 + 4x + -1) + (4x2 + 5x + 13) + -1(8x2 + -13) = 0 Reorder the terms: (-1 + 4x + 4x2) + (4x2 + 5x + 13) + -1(8x2 + -13) = 0 Remove parenthesis around (-1 + 4x + 4x2) -1 + 4x + 4x2 + (4x2 + 5x + 13) + -1(8x2 + -13) = 0 Reorder the terms: -1 + 4x + 4x2 + (13 + 5x + 4x2) + -1(8x2 + -13) = 0 Remove parenthesis around (13 + 5x + 4x2) -1 + 4x + 4x2 + 13 + 5x + 4x2 + -1(8x2 + -13) = 0 Reorder the terms: -1 + 4x + 4x2 + 13 + 5x + 4x2 + -1(-13 + 8x2) = 0 -1 + 4x + 4x2 + 13 + 5x + 4x2 + (-13 * -1 + 8x2 * -1) = 0 -1 + 4x + 4x2 + 13 + 5x + 4x2 + (13 + -8x2) = 0 Reorder the terms: -1 + 13 + 13 + 4x + 5x + 4x2 + 4x2 + -8x2 = 0 Combine like terms: -1 + 13 = 12 12 + 13 + 4x + 5x + 4x2 + 4x2 + -8x2 = 0 Combine like terms: 12 + 13 = 25 25 + 4x + 5x + 4x2 + 4x2 + -8x2 = 0 Combine like terms: 4x + 5x = 9x 25 + 9x + 4x2 + 4x2 + -8x2 = 0 Combine like terms: 4x2 + 4x2 = 8x2 25 + 9x + 8x2 + -8x2 = 0 Combine like terms: 8x2 + -8x2 = 0 25 + 9x + 0 = 0 25 + 9x = 0 Solving 25 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 9x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 9x = 0 + -25 9x = 0 + -25 Combine like terms: 0 + -25 = -25 9x = -25 Divide each side by '9'. x = -2.777777778 Simplifying x = -2.777777778
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