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Simplifying (3x2 + 3x + -8) + (3x2 + 6x + 17) + -1(6x2 + -17) = 0 Reorder the terms: (-8 + 3x + 3x2) + (3x2 + 6x + 17) + -1(6x2 + -17) = 0 Remove parenthesis around (-8 + 3x + 3x2) -8 + 3x + 3x2 + (3x2 + 6x + 17) + -1(6x2 + -17) = 0 Reorder the terms: -8 + 3x + 3x2 + (17 + 6x + 3x2) + -1(6x2 + -17) = 0 Remove parenthesis around (17 + 6x + 3x2) -8 + 3x + 3x2 + 17 + 6x + 3x2 + -1(6x2 + -17) = 0 Reorder the terms: -8 + 3x + 3x2 + 17 + 6x + 3x2 + -1(-17 + 6x2) = 0 -8 + 3x + 3x2 + 17 + 6x + 3x2 + (-17 * -1 + 6x2 * -1) = 0 -8 + 3x + 3x2 + 17 + 6x + 3x2 + (17 + -6x2) = 0 Reorder the terms: -8 + 17 + 17 + 3x + 6x + 3x2 + 3x2 + -6x2 = 0 Combine like terms: -8 + 17 = 9 9 + 17 + 3x + 6x + 3x2 + 3x2 + -6x2 = 0 Combine like terms: 9 + 17 = 26 26 + 3x + 6x + 3x2 + 3x2 + -6x2 = 0 Combine like terms: 3x + 6x = 9x 26 + 9x + 3x2 + 3x2 + -6x2 = 0 Combine like terms: 3x2 + 3x2 = 6x2 26 + 9x + 6x2 + -6x2 = 0 Combine like terms: 6x2 + -6x2 = 0 26 + 9x + 0 = 0 26 + 9x = 0 Solving 26 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 9x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 9x = 0 + -26 9x = 0 + -26 Combine like terms: 0 + -26 = -26 9x = -26 Divide each side by '9'. x = -2.888888889 Simplifying x = -2.888888889
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