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Simplifying (2x2 + 9x + -5) + (2x2 + 3x + 11) + -1(4x2 + -17) = 0 Reorder the terms: (-5 + 9x + 2x2) + (2x2 + 3x + 11) + -1(4x2 + -17) = 0 Remove parenthesis around (-5 + 9x + 2x2) -5 + 9x + 2x2 + (2x2 + 3x + 11) + -1(4x2 + -17) = 0 Reorder the terms: -5 + 9x + 2x2 + (11 + 3x + 2x2) + -1(4x2 + -17) = 0 Remove parenthesis around (11 + 3x + 2x2) -5 + 9x + 2x2 + 11 + 3x + 2x2 + -1(4x2 + -17) = 0 Reorder the terms: -5 + 9x + 2x2 + 11 + 3x + 2x2 + -1(-17 + 4x2) = 0 -5 + 9x + 2x2 + 11 + 3x + 2x2 + (-17 * -1 + 4x2 * -1) = 0 -5 + 9x + 2x2 + 11 + 3x + 2x2 + (17 + -4x2) = 0 Reorder the terms: -5 + 11 + 17 + 9x + 3x + 2x2 + 2x2 + -4x2 = 0 Combine like terms: -5 + 11 = 6 6 + 17 + 9x + 3x + 2x2 + 2x2 + -4x2 = 0 Combine like terms: 6 + 17 = 23 23 + 9x + 3x + 2x2 + 2x2 + -4x2 = 0 Combine like terms: 9x + 3x = 12x 23 + 12x + 2x2 + 2x2 + -4x2 = 0 Combine like terms: 2x2 + 2x2 = 4x2 23 + 12x + 4x2 + -4x2 = 0 Combine like terms: 4x2 + -4x2 = 0 23 + 12x + 0 = 0 23 + 12x = 0 Solving 23 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 12x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 12x = 0 + -23 12x = 0 + -23 Combine like terms: 0 + -23 = -23 12x = -23 Divide each side by '12'. x = -1.916666667 Simplifying x = -1.916666667
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