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Simplifying -8x2 + 14x + -27 = 0 Reorder the terms: -27 + 14x + -8x2 = 0 Solving -27 + 14x + -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'. 3.375 + -1.75x + x2 = 0 Move the constant term to the right: Add '-3.375' to each side of the equation. 3.375 + -1.75x + -3.375 + x2 = 0 + -3.375 Reorder the terms: 3.375 + -3.375 + -1.75x + x2 = 0 + -3.375 Combine like terms: 3.375 + -3.375 = 0.000 0.000 + -1.75x + x2 = 0 + -3.375 -1.75x + x2 = 0 + -3.375 Combine like terms: 0 + -3.375 = -3.375 -1.75x + x2 = -3.375 The x term is -1.75x. Take half its coefficient (-0.875). Square it (0.765625) and add it to both sides. Add '0.765625' to each side of the equation. -1.75x + 0.765625 + x2 = -3.375 + 0.765625 Reorder the terms: 0.765625 + -1.75x + x2 = -3.375 + 0.765625 Combine like terms: -3.375 + 0.765625 = -2.609375 0.765625 + -1.75x + x2 = -2.609375 Factor a perfect square on the left side: (x + -0.875)(x + -0.875) = -2.609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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