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Simplifying 4x2 = x + -7 Reorder the terms: 4x2 = -7 + x Solving 4x2 = -7 + x Solving for variable 'x'. Reorder the terms: 7 + -1x + 4x2 = -7 + x + 7 + -1x Reorder the terms: 7 + -1x + 4x2 = -7 + 7 + x + -1x Combine like terms: -7 + 7 = 0 7 + -1x + 4x2 = 0 + x + -1x 7 + -1x + 4x2 = x + -1x Combine like terms: x + -1x = 0 7 + -1x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.75 + -0.25x + x2 = 0 Move the constant term to the right: Add '-1.75' to each side of the equation. 1.75 + -0.25x + -1.75 + x2 = 0 + -1.75 Reorder the terms: 1.75 + -1.75 + -0.25x + x2 = 0 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + -0.25x + x2 = 0 + -1.75 -0.25x + x2 = 0 + -1.75 Combine like terms: 0 + -1.75 = -1.75 -0.25x + x2 = -1.75 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 = -1.75 + 0.015625 Reorder the terms: 0.015625 + -0.25x + x2 = -1.75 + 0.015625 Combine like terms: -1.75 + 0.015625 = -1.734375 0.015625 + -0.25x + x2 = -1.734375 Factor a perfect square on the left side: (x + -0.125)(x + -0.125) = -1.734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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