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Simplifying (13x2 + 17x + 9) + (16x2 + 13x + 7) = 0 Reorder the terms: (9 + 17x + 13x2) + (16x2 + 13x + 7) = 0 Remove parenthesis around (9 + 17x + 13x2) 9 + 17x + 13x2 + (16x2 + 13x + 7) = 0 Reorder the terms: 9 + 17x + 13x2 + (7 + 13x + 16x2) = 0 Remove parenthesis around (7 + 13x + 16x2) 9 + 17x + 13x2 + 7 + 13x + 16x2 = 0 Reorder the terms: 9 + 7 + 17x + 13x + 13x2 + 16x2 = 0 Combine like terms: 9 + 7 = 16 16 + 17x + 13x + 13x2 + 16x2 = 0 Combine like terms: 17x + 13x = 30x 16 + 30x + 13x2 + 16x2 = 0 Combine like terms: 13x2 + 16x2 = 29x2 16 + 30x + 29x2 = 0 Solving 16 + 30x + 29x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 29 the coefficient of the squared term: Divide each side by '29'. 0.5517241379 + 1.034482759x + x2 = 0 Move the constant term to the right: Add '-0.5517241379' to each side of the equation. 0.5517241379 + 1.034482759x + -0.5517241379 + x2 = 0 + -0.5517241379 Reorder the terms: 0.5517241379 + -0.5517241379 + 1.034482759x + x2 = 0 + -0.5517241379 Combine like terms: 0.5517241379 + -0.5517241379 = 0.0000000000 0.0000000000 + 1.034482759x + x2 = 0 + -0.5517241379 1.034482759x + x2 = 0 + -0.5517241379 Combine like terms: 0 + -0.5517241379 = -0.5517241379 1.034482759x + x2 = -0.5517241379 The x term is 1.034482759x. Take half its coefficient (0.5172413795). Square it (0.2675386447) and add it to both sides. Add '0.2675386447' to each side of the equation. 1.034482759x + 0.2675386447 + x2 = -0.5517241379 + 0.2675386447 Reorder the terms: 0.2675386447 + 1.034482759x + x2 = -0.5517241379 + 0.2675386447 Combine like terms: -0.5517241379 + 0.2675386447 = -0.2841854932 0.2675386447 + 1.034482759x + x2 = -0.2841854932 Factor a perfect square on the left side: (x + 0.5172413795)(x + 0.5172413795) = -0.2841854932 Can't calculate square root of the right side. The solution to this equation could not be determined.
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