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Simplifying 4x2 + -29x + 88 = 0 Reorder the terms: 88 + -29x + 4x2 = 0 Solving 88 + -29x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 22 + -7.25x + x2 = 0 Move the constant term to the right: Add '-22' to each side of the equation. 22 + -7.25x + -22 + x2 = 0 + -22 Reorder the terms: 22 + -22 + -7.25x + x2 = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -7.25x + x2 = 0 + -22 -7.25x + x2 = 0 + -22 Combine like terms: 0 + -22 = -22 -7.25x + x2 = -22 The x term is -7.25x. Take half its coefficient (-3.625). Square it (13.140625) and add it to both sides. Add '13.140625' to each side of the equation. -7.25x + 13.140625 + x2 = -22 + 13.140625 Reorder the terms: 13.140625 + -7.25x + x2 = -22 + 13.140625 Combine like terms: -22 + 13.140625 = -8.859375 13.140625 + -7.25x + x2 = -8.859375 Factor a perfect square on the left side: (x + -3.625)(x + -3.625) = -8.859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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