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Simplifying x2 + 8x + 54 = 0 Reorder the terms: 54 + 8x + x2 = 0 Solving 54 + 8x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-54' to each side of the equation. 54 + 8x + -54 + x2 = 0 + -54 Reorder the terms: 54 + -54 + 8x + x2 = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 8x + x2 = 0 + -54 8x + x2 = 0 + -54 Combine like terms: 0 + -54 = -54 8x + x2 = -54 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 = -54 + 16 Reorder the terms: 16 + 8x + x2 = -54 + 16 Combine like terms: -54 + 16 = -38 16 + 8x + x2 = -38 Factor a perfect square on the left side: (x + 4)(x + 4) = -38 Can't calculate square root of the right side. The solution to this equation could not be determined.
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