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Simplifying 8x2 + 29x + 90 = 0 Reorder the terms: 90 + 29x + 8x2 = 0 Solving 90 + 29x + 8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 11.25 + 3.625x + x2 = 0 Move the constant term to the right: Add '-11.25' to each side of the equation. 11.25 + 3.625x + -11.25 + x2 = 0 + -11.25 Reorder the terms: 11.25 + -11.25 + 3.625x + x2 = 0 + -11.25 Combine like terms: 11.25 + -11.25 = 0.00 0.00 + 3.625x + x2 = 0 + -11.25 3.625x + x2 = 0 + -11.25 Combine like terms: 0 + -11.25 = -11.25 3.625x + x2 = -11.25 The x term is 3.625x. Take half its coefficient (1.8125). Square it (3.28515625) and add it to both sides. Add '3.28515625' to each side of the equation. 3.625x + 3.28515625 + x2 = -11.25 + 3.28515625 Reorder the terms: 3.28515625 + 3.625x + x2 = -11.25 + 3.28515625 Combine like terms: -11.25 + 3.28515625 = -7.96484375 3.28515625 + 3.625x + x2 = -7.96484375 Factor a perfect square on the left side: (x + 1.8125)(x + 1.8125) = -7.96484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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