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Simplifying u2 + 15u + 84 = 0 Reorder the terms: 84 + 15u + u2 = 0 Solving 84 + 15u + u2 = 0 Solving for variable 'u'. Begin completing the square. Move the constant term to the right: Add '-84' to each side of the equation. 84 + 15u + -84 + u2 = 0 + -84 Reorder the terms: 84 + -84 + 15u + u2 = 0 + -84 Combine like terms: 84 + -84 = 0 0 + 15u + u2 = 0 + -84 15u + u2 = 0 + -84 Combine like terms: 0 + -84 = -84 15u + u2 = -84 The u term is 15u. Take half its coefficient (7.5). Square it (56.25) and add it to both sides. Add '56.25' to each side of the equation. 15u + 56.25 + u2 = -84 + 56.25 Reorder the terms: 56.25 + 15u + u2 = -84 + 56.25 Combine like terms: -84 + 56.25 = -27.75 56.25 + 15u + u2 = -27.75 Factor a perfect square on the left side: (u + 7.5)(u + 7.5) = -27.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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