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Simplifying (17x2 + 20x + 11) + (15x2 + 11x + 17) = 0 Reorder the terms: (11 + 20x + 17x2) + (15x2 + 11x + 17) = 0 Remove parenthesis around (11 + 20x + 17x2) 11 + 20x + 17x2 + (15x2 + 11x + 17) = 0 Reorder the terms: 11 + 20x + 17x2 + (17 + 11x + 15x2) = 0 Remove parenthesis around (17 + 11x + 15x2) 11 + 20x + 17x2 + 17 + 11x + 15x2 = 0 Reorder the terms: 11 + 17 + 20x + 11x + 17x2 + 15x2 = 0 Combine like terms: 11 + 17 = 28 28 + 20x + 11x + 17x2 + 15x2 = 0 Combine like terms: 20x + 11x = 31x 28 + 31x + 17x2 + 15x2 = 0 Combine like terms: 17x2 + 15x2 = 32x2 28 + 31x + 32x2 = 0 Solving 28 + 31x + 32x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 32 the coefficient of the squared term: Divide each side by '32'. 0.875 + 0.96875x + x2 = 0 Move the constant term to the right: Add '-0.875' to each side of the equation. 0.875 + 0.96875x + -0.875 + x2 = 0 + -0.875 Reorder the terms: 0.875 + -0.875 + 0.96875x + x2 = 0 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + 0.96875x + x2 = 0 + -0.875 0.96875x + x2 = 0 + -0.875 Combine like terms: 0 + -0.875 = -0.875 0.96875x + x2 = -0.875 The x term is 0.96875x. Take half its coefficient (0.484375). Square it (0.2346191406) and add it to both sides. Add '0.2346191406' to each side of the equation. 0.96875x + 0.2346191406 + x2 = -0.875 + 0.2346191406 Reorder the terms: 0.2346191406 + 0.96875x + x2 = -0.875 + 0.2346191406 Combine like terms: -0.875 + 0.2346191406 = -0.6403808594 0.2346191406 + 0.96875x + x2 = -0.6403808594 Factor a perfect square on the left side: (x + 0.484375)(x + 0.484375) = -0.6403808594 Can't calculate square root of the right side. The solution to this equation could not be determined.
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