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Simplifying 25x2 + -156x + 256 = 0 Reorder the terms: 256 + -156x + 25x2 = 0 Solving 256 + -156x + 25x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 10.24 + -6.24x + x2 = 0 Move the constant term to the right: Add '-10.24' to each side of the equation. 10.24 + -6.24x + -10.24 + x2 = 0 + -10.24 Reorder the terms: 10.24 + -10.24 + -6.24x + x2 = 0 + -10.24 Combine like terms: 10.24 + -10.24 = 0.00 0.00 + -6.24x + x2 = 0 + -10.24 -6.24x + x2 = 0 + -10.24 Combine like terms: 0 + -10.24 = -10.24 -6.24x + x2 = -10.24 The x term is -6.24x. Take half its coefficient (-3.12). Square it (9.7344) and add it to both sides. Add '9.7344' to each side of the equation. -6.24x + 9.7344 + x2 = -10.24 + 9.7344 Reorder the terms: 9.7344 + -6.24x + x2 = -10.24 + 9.7344 Combine like terms: -10.24 + 9.7344 = -0.5056 9.7344 + -6.24x + x2 = -0.5056 Factor a perfect square on the left side: (x + -3.12)(x + -3.12) = -0.5056 Can't calculate square root of the right side. The solution to this equation could not be determined.
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