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Simplifying -8x2 + 5x + -8 = 0 Reorder the terms: -8 + 5x + -8x2 = 0 Solving -8 + 5x + -8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 1 + -0.625x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.625x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -0.625x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.625x + x2 = 0 + -1 -0.625x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.625x + x2 = -1 The x term is -0.625x. Take half its coefficient (-0.3125). Square it (0.09765625) and add it to both sides. Add '0.09765625' to each side of the equation. -0.625x + 0.09765625 + x2 = -1 + 0.09765625 Reorder the terms: 0.09765625 + -0.625x + x2 = -1 + 0.09765625 Combine like terms: -1 + 0.09765625 = -0.90234375 0.09765625 + -0.625x + x2 = -0.90234375 Factor a perfect square on the left side: (x + -0.3125)(x + -0.3125) = -0.90234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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