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Simplifying -4X2 = -1X + 8 Reorder the terms: -4X2 = 8 + -1X Solving -4X2 = 8 + -1X Solving for variable 'X'. Reorder the terms: -8 + X + -4X2 = 8 + -1X + -8 + X Reorder the terms: -8 + X + -4X2 = 8 + -8 + -1X + X Combine like terms: 8 + -8 = 0 -8 + X + -4X2 = 0 + -1X + X -8 + X + -4X2 = -1X + X Combine like terms: -1X + X = 0 -8 + X + -4X2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 2 + -0.25X + X2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -0.25X + -2 + X2 = 0 + -2 Reorder the terms: 2 + -2 + -0.25X + X2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -0.25X + X2 = 0 + -2 -0.25X + X2 = 0 + -2 Combine like terms: 0 + -2 = -2 -0.25X + X2 = -2 The X term is X. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.25X + 0.25 + X2 = -2 + 0.25 Reorder the terms: 0.25 + -0.25X + X2 = -2 + 0.25 Combine like terms: -2 + 0.25 = -1.75 0.25 + -0.25X + X2 = -1.75 Factor a perfect square on the left side: (X + 0.5)(X + 0.5) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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