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Simplifying 8x2 + -11x + 56 = 0 Reorder the terms: 56 + -11x + 8x2 = 0 Solving 56 + -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'. 7 + -1.375x + x2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + -1.375x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + -1.375x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1.375x + x2 = 0 + -7 -1.375x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 -1.375x + x2 = -7 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 = -7 + 0.47265625 Reorder the terms: 0.47265625 + -1.375x + x2 = -7 + 0.47265625 Combine like terms: -7 + 0.47265625 = -6.52734375 0.47265625 + -1.375x + x2 = -6.52734375 Factor a perfect square on the left side: (x + -0.6875)(x + -0.6875) = -6.52734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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