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Simplifying 4x2 + -25x + 78 = 0 Reorder the terms: 78 + -25x + 4x2 = 0 Solving 78 + -25x + 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'. 19.5 + -6.25x + x2 = 0 Move the constant term to the right: Add '-19.5' to each side of the equation. 19.5 + -6.25x + -19.5 + x2 = 0 + -19.5 Reorder the terms: 19.5 + -19.5 + -6.25x + x2 = 0 + -19.5 Combine like terms: 19.5 + -19.5 = 0.0 0.0 + -6.25x + x2 = 0 + -19.5 -6.25x + x2 = 0 + -19.5 Combine like terms: 0 + -19.5 = -19.5 -6.25x + x2 = -19.5 The x term is -6.25x. Take half its coefficient (-3.125). Square it (9.765625) and add it to both sides. Add '9.765625' to each side of the equation. -6.25x + 9.765625 + x2 = -19.5 + 9.765625 Reorder the terms: 9.765625 + -6.25x + x2 = -19.5 + 9.765625 Combine like terms: -19.5 + 9.765625 = -9.734375 9.765625 + -6.25x + x2 = -9.734375 Factor a perfect square on the left side: (x + -3.125)(x + -3.125) = -9.734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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