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Simplifying 4x2 + -26x + 56.25 = 0 Reorder the terms: 56.25 + -26x + 4x2 = 0 Solving 56.25 + -26x + 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'. 14.0625 + -6.5x + x2 = 0 Move the constant term to the right: Add '-14.0625' to each side of the equation. 14.0625 + -6.5x + -14.0625 + x2 = 0 + -14.0625 Reorder the terms: 14.0625 + -14.0625 + -6.5x + x2 = 0 + -14.0625 Combine like terms: 14.0625 + -14.0625 = 0.0000 0.0000 + -6.5x + x2 = 0 + -14.0625 -6.5x + x2 = 0 + -14.0625 Combine like terms: 0 + -14.0625 = -14.0625 -6.5x + x2 = -14.0625 The x term is -6.5x. Take half its coefficient (-3.25). Square it (10.5625) and add it to both sides. Add '10.5625' to each side of the equation. -6.5x + 10.5625 + x2 = -14.0625 + 10.5625 Reorder the terms: 10.5625 + -6.5x + x2 = -14.0625 + 10.5625 Combine like terms: -14.0625 + 10.5625 = -3.5 10.5625 + -6.5x + x2 = -3.5 Factor a perfect square on the left side: (x + -3.25)(x + -3.25) = -3.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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