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Simplifying (x + -4)(x + -4) + 256 = 0 Reorder the terms: (-4 + x)(x + -4) + 256 = 0 Reorder the terms: (-4 + x)(-4 + x) + 256 = 0 Multiply (-4 + x) * (-4 + x) (-4(-4 + x) + x(-4 + x)) + 256 = 0 ((-4 * -4 + x * -4) + x(-4 + x)) + 256 = 0 ((16 + -4x) + x(-4 + x)) + 256 = 0 (16 + -4x + (-4 * x + x * x)) + 256 = 0 (16 + -4x + (-4x + x2)) + 256 = 0 Combine like terms: -4x + -4x = -8x (16 + -8x + x2) + 256 = 0 Reorder the terms: 16 + 256 + -8x + x2 = 0 Combine like terms: 16 + 256 = 272 272 + -8x + x2 = 0 Solving 272 + -8x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-272' to each side of the equation. 272 + -8x + -272 + x2 = 0 + -272 Reorder the terms: 272 + -272 + -8x + x2 = 0 + -272 Combine like terms: 272 + -272 = 0 0 + -8x + x2 = 0 + -272 -8x + x2 = 0 + -272 Combine like terms: 0 + -272 = -272 -8x + x2 = -272 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = -272 + 16 Reorder the terms: 16 + -8x + x2 = -272 + 16 Combine like terms: -272 + 16 = -256 16 + -8x + x2 = -256 Factor a perfect square on the left side: (x + -4)(x + -4) = -256 Can't calculate square root of the right side. The solution to this equation could not be determined.
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