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Simplifying 8u2 + 14u + 15 = 0 Reorder the terms: 15 + 14u + 8u2 = 0 Solving 15 + 14u + 8u2 = 0 Solving for variable 'u'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.875 + 1.75u + u2 = 0 Move the constant term to the right: Add '-1.875' to each side of the equation. 1.875 + 1.75u + -1.875 + u2 = 0 + -1.875 Reorder the terms: 1.875 + -1.875 + 1.75u + u2 = 0 + -1.875 Combine like terms: 1.875 + -1.875 = 0.000 0.000 + 1.75u + u2 = 0 + -1.875 1.75u + u2 = 0 + -1.875 Combine like terms: 0 + -1.875 = -1.875 1.75u + u2 = -1.875 The u term is 1.75u. 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. 1.75u + 0.765625 + u2 = -1.875 + 0.765625 Reorder the terms: 0.765625 + 1.75u + u2 = -1.875 + 0.765625 Combine like terms: -1.875 + 0.765625 = -1.109375 0.765625 + 1.75u + u2 = -1.109375 Factor a perfect square on the left side: (u + 0.875)(u + 0.875) = -1.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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