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Simplifying (u + -4)(u + -4) + 8 = 0 Reorder the terms: (-4 + u)(u + -4) + 8 = 0 Reorder the terms: (-4 + u)(-4 + u) + 8 = 0 Multiply (-4 + u) * (-4 + u) (-4(-4 + u) + u(-4 + u)) + 8 = 0 ((-4 * -4 + u * -4) + u(-4 + u)) + 8 = 0 ((16 + -4u) + u(-4 + u)) + 8 = 0 (16 + -4u + (-4 * u + u * u)) + 8 = 0 (16 + -4u + (-4u + u2)) + 8 = 0 Combine like terms: -4u + -4u = -8u (16 + -8u + u2) + 8 = 0 Reorder the terms: 16 + 8 + -8u + u2 = 0 Combine like terms: 16 + 8 = 24 24 + -8u + u2 = 0 Solving 24 + -8u + u2 = 0 Solving for variable 'u'. Begin completing the square. Move the constant term to the right: Add '-24' to each side of the equation. 24 + -8u + -24 + u2 = 0 + -24 Reorder the terms: 24 + -24 + -8u + u2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -8u + u2 = 0 + -24 -8u + u2 = 0 + -24 Combine like terms: 0 + -24 = -24 -8u + u2 = -24 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 = -24 + 16 Reorder the terms: 16 + -8u + u2 = -24 + 16 Combine like terms: -24 + 16 = -8 16 + -8u + u2 = -8 Factor a perfect square on the left side: (u + -4)(u + -4) = -8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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