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Simplifying (x2 + 8x + 64) = 0 Reorder the terms: (64 + 8x + x2) = 0 Remove parenthesis around (64 + 8x + x2) 64 + 8x + x2 = 0 Solving 64 + 8x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-64' to each side of the equation. 64 + 8x + -64 + x2 = 0 + -64 Reorder the terms: 64 + -64 + 8x + x2 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 8x + x2 = 0 + -64 8x + x2 = 0 + -64 Combine like terms: 0 + -64 = -64 8x + x2 = -64 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 = -64 + 16 Reorder the terms: 16 + 8x + x2 = -64 + 16 Combine like terms: -64 + 16 = -48 16 + 8x + x2 = -48 Factor a perfect square on the left side: (x + 4)(x + 4) = -48 Can't calculate square root of the right side. The solution to this equation could not be determined.
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