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Simplifying (u2 + -8u + -16) + 63 = 0 Reorder the terms: (-16 + -8u + u2) + 63 = 0 Remove parenthesis around (-16 + -8u + u2) -16 + -8u + u2 + 63 = 0 Reorder the terms: -16 + 63 + -8u + u2 = 0 Combine like terms: -16 + 63 = 47 47 + -8u + u2 = 0 Solving 47 + -8u + u2 = 0 Solving for variable 'u'. Begin completing the square. Move the constant term to the right: Add '-47' to each side of the equation. 47 + -8u + -47 + u2 = 0 + -47 Reorder the terms: 47 + -47 + -8u + u2 = 0 + -47 Combine like terms: 47 + -47 = 0 0 + -8u + u2 = 0 + -47 -8u + u2 = 0 + -47 Combine like terms: 0 + -47 = -47 -8u + u2 = -47 The u term is -8u. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8u + 16 + u2 = -47 + 16 Reorder the terms: 16 + -8u + u2 = -47 + 16 Combine like terms: -47 + 16 = -31 16 + -8u + u2 = -31 Factor a perfect square on the left side: (u + -4)(u + -4) = -31 Can't calculate square root of the right side. The solution to this equation could not be determined.
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