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Simplifying -0.25x2 + -1x + 4 = 8 Reorder the terms: 4 + -1x + -0.25x2 = 8 Solving 4 + -1x + -0.25x2 = 8 Solving for variable 'x'. Reorder the terms: 4 + -8 + -1x + -0.25x2 = 8 + -8 Combine like terms: 4 + -8 = -4 -4 + -1x + -0.25x2 = 8 + -8 Combine like terms: 8 + -8 = 0 -4 + -1x + -0.25x2 = 0 Begin completing the square. Divide all terms by -0.25 the coefficient of the squared term: Divide each side by '-0.25'. 16 + 4x + x2 = 0 Move the constant term to the right: Add '-16' to each side of the equation. 16 + 4x + -16 + x2 = 0 + -16 Reorder the terms: 16 + -16 + 4x + x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 4x + x2 = 0 + -16 4x + x2 = 0 + -16 Combine like terms: 0 + -16 = -16 4x + x2 = -16 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -16 + 4 Reorder the terms: 4 + 4x + x2 = -16 + 4 Combine like terms: -16 + 4 = -12 4 + 4x + x2 = -12 Factor a perfect square on the left side: (x + 2)(x + 2) = -12 Can't calculate square root of the right side. The solution to this equation could not be determined.
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