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Simplifying -8x2 + 11x + -13 = 0 Reorder the terms: -13 + 11x + -8x2 = 0 Solving -13 + 11x + -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'. 1.625 + -1.375x + x2 = 0 Move the constant term to the right: Add '-1.625' to each side of the equation. 1.625 + -1.375x + -1.625 + x2 = 0 + -1.625 Reorder the terms: 1.625 + -1.625 + -1.375x + x2 = 0 + -1.625 Combine like terms: 1.625 + -1.625 = 0.000 0.000 + -1.375x + x2 = 0 + -1.625 -1.375x + x2 = 0 + -1.625 Combine like terms: 0 + -1.625 = -1.625 -1.375x + x2 = -1.625 The x term is -1.375x. Take half its coefficient (-0.6875). Square it (0.47265625) and add it to both sides. Add '0.47265625' to each side of the equation. -1.375x + 0.47265625 + x2 = -1.625 + 0.47265625 Reorder the terms: 0.47265625 + -1.375x + x2 = -1.625 + 0.47265625 Combine like terms: -1.625 + 0.47265625 = -1.15234375 0.47265625 + -1.375x + x2 = -1.15234375 Factor a perfect square on the left side: (x + -0.6875)(x + -0.6875) = -1.15234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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