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Simplifying 8x2 + 11x + 14 = 0 Reorder the terms: 14 + 11x + 8x2 = 0 Solving 14 + 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'. 1.75 + 1.375x + x2 = 0 Move the constant term to the right: Add '-1.75' to each side of the equation. 1.75 + 1.375x + -1.75 + x2 = 0 + -1.75 Reorder the terms: 1.75 + -1.75 + 1.375x + x2 = 0 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + 1.375x + x2 = 0 + -1.75 1.375x + x2 = 0 + -1.75 Combine like terms: 0 + -1.75 = -1.75 1.375x + x2 = -1.75 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 = -1.75 + 0.47265625 Reorder the terms: 0.47265625 + 1.375x + x2 = -1.75 + 0.47265625 Combine like terms: -1.75 + 0.47265625 = -1.27734375 0.47265625 + 1.375x + x2 = -1.27734375 Factor a perfect square on the left side: (x + 0.6875)(x + 0.6875) = -1.27734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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