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Simplifying 4x2 + -1x + 56 = 31 Reorder the terms: 56 + -1x + 4x2 = 31 Solving 56 + -1x + 4x2 = 31 Solving for variable 'x'. Reorder the terms: 56 + -31 + -1x + 4x2 = 31 + -31 Combine like terms: 56 + -31 = 25 25 + -1x + 4x2 = 31 + -31 Combine like terms: 31 + -31 = 0 25 + -1x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 6.25 + -0.25x + x2 = 0 Move the constant term to the right: Add '-6.25' to each side of the equation. 6.25 + -0.25x + -6.25 + x2 = 0 + -6.25 Reorder the terms: 6.25 + -6.25 + -0.25x + x2 = 0 + -6.25 Combine like terms: 6.25 + -6.25 = 0.00 0.00 + -0.25x + x2 = 0 + -6.25 -0.25x + x2 = 0 + -6.25 Combine like terms: 0 + -6.25 = -6.25 -0.25x + x2 = -6.25 The x term is -0.25x. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25x + 0.015625 + x2 = -6.25 + 0.015625 Reorder the terms: 0.015625 + -0.25x + x2 = -6.25 + 0.015625 Combine like terms: -6.25 + 0.015625 = -6.234375 0.015625 + -0.25x + x2 = -6.234375 Factor a perfect square on the left side: (x + -0.125)(x + -0.125) = -6.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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