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Simplifying -4x2 + 3x + -8 = 0 Reorder the terms: -8 + 3x + -4x2 = 0 Solving -8 + 3x + -4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 2 + -0.75x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -0.75x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -0.75x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -0.75x + x2 = 0 + -2 -0.75x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -0.75x + x2 = -2 The x term is -0.75x. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75x + 0.140625 + x2 = -2 + 0.140625 Reorder the terms: 0.140625 + -0.75x + x2 = -2 + 0.140625 Combine like terms: -2 + 0.140625 = -1.859375 0.140625 + -0.75x + x2 = -1.859375 Factor a perfect square on the left side: (x + -0.375)(x + -0.375) = -1.859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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