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Simplifying 4x2 = x + -1 Reorder the terms: 4x2 = -1 + x Solving 4x2 = -1 + x Solving for variable 'x'. Reorder the terms: 1 + -1x + 4x2 = -1 + x + 1 + -1x Reorder the terms: 1 + -1x + 4x2 = -1 + 1 + x + -1x Combine like terms: -1 + 1 = 0 1 + -1x + 4x2 = 0 + x + -1x 1 + -1x + 4x2 = x + -1x Combine like terms: x + -1x = 0 1 + -1x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 0.25 + -0.25x + x2 = 0 Move the constant term to the right: Add '-0.25' to each side of the equation. 0.25 + -0.25x + -0.25 + x2 = 0 + -0.25 Reorder the terms: 0.25 + -0.25 + -0.25x + x2 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + -0.25x + x2 = 0 + -0.25 -0.25x + x2 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 -0.25x + x2 = -0.25 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 = -0.25 + 0.015625 Reorder the terms: 0.015625 + -0.25x + x2 = -0.25 + 0.015625 Combine like terms: -0.25 + 0.015625 = -0.234375 0.015625 + -0.25x + x2 = -0.234375 Factor a perfect square on the left side: (x + -0.125)(x + -0.125) = -0.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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