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Simplifying x2 + 8x + 54 = -4 Reorder the terms: 54 + 8x + x2 = -4 Solving 54 + 8x + x2 = -4 Solving for variable 'x'. Reorder the terms: 54 + 4 + 8x + x2 = -4 + 4 Combine like terms: 54 + 4 = 58 58 + 8x + x2 = -4 + 4 Combine like terms: -4 + 4 = 0 58 + 8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-58' to each side of the equation. 58 + 8x + -58 + x2 = 0 + -58 Reorder the terms: 58 + -58 + 8x + x2 = 0 + -58 Combine like terms: 58 + -58 = 0 0 + 8x + x2 = 0 + -58 8x + x2 = 0 + -58 Combine like terms: 0 + -58 = -58 8x + x2 = -58 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 = -58 + 16 Reorder the terms: 16 + 8x + x2 = -58 + 16 Combine like terms: -58 + 16 = -42 16 + 8x + x2 = -42 Factor a perfect square on the left side: (x + 4)(x + 4) = -42 Can't calculate square root of the right side. The solution to this equation could not be determined.
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