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Simplifying 0.8x2 + -24x + 250 = x Reorder the terms: 250 + -24x + 0.8x2 = x Solving 250 + -24x + 0.8x2 = x Solving for variable 'x'. Reorder the terms: 250 + -24x + -1x + 0.8x2 = x + -1x Combine like terms: -24x + -1x = -25x 250 + -25x + 0.8x2 = x + -1x Combine like terms: x + -1x = 0 250 + -25x + 0.8x2 = 0 Begin completing the square. Divide all terms by 0.8 the coefficient of the squared term: Divide each side by '0.8'. 312.5 + -31.25x + x2 = 0 Move the constant term to the right: Add '-312.5' to each side of the equation. 312.5 + -31.25x + -312.5 + x2 = 0 + -312.5 Reorder the terms: 312.5 + -312.5 + -31.25x + x2 = 0 + -312.5 Combine like terms: 312.5 + -312.5 = 0.0 0.0 + -31.25x + x2 = 0 + -312.5 -31.25x + x2 = 0 + -312.5 Combine like terms: 0 + -312.5 = -312.5 -31.25x + x2 = -312.5 The x term is -31.25x. Take half its coefficient (-15.625). Square it (244.140625) and add it to both sides. Add '244.140625' to each side of the equation. -31.25x + 244.140625 + x2 = -312.5 + 244.140625 Reorder the terms: 244.140625 + -31.25x + x2 = -312.5 + 244.140625 Combine like terms: -312.5 + 244.140625 = -68.359375 244.140625 + -31.25x + x2 = -68.359375 Factor a perfect square on the left side: (x + -15.625)(x + -15.625) = -68.359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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