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Simplifying x2 + 10x + 43 = 0 Reorder the terms: 43 + 10x + x2 = 0 Solving 43 + 10x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-43' to each side of the equation. 43 + 10x + -43 + x2 = 0 + -43 Reorder the terms: 43 + -43 + 10x + x2 = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 10x + x2 = 0 + -43 10x + x2 = 0 + -43 Combine like terms: 0 + -43 = -43 10x + x2 = -43 The x term is 10x. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10x + 25 + x2 = -43 + 25 Reorder the terms: 25 + 10x + x2 = -43 + 25 Combine like terms: -43 + 25 = -18 25 + 10x + x2 = -18 Factor a perfect square on the left side: (x + 5)(x + 5) = -18 Can't calculate square root of the right side. The solution to this equation could not be determined.
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