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Simplifying x2 + 26x + 169 = -22 Reorder the terms: 169 + 26x + x2 = -22 Solving 169 + 26x + x2 = -22 Solving for variable 'x'. Reorder the terms: 169 + 22 + 26x + x2 = -22 + 22 Combine like terms: 169 + 22 = 191 191 + 26x + x2 = -22 + 22 Combine like terms: -22 + 22 = 0 191 + 26x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-191' to each side of the equation. 191 + 26x + -191 + x2 = 0 + -191 Reorder the terms: 191 + -191 + 26x + x2 = 0 + -191 Combine like terms: 191 + -191 = 0 0 + 26x + x2 = 0 + -191 26x + x2 = 0 + -191 Combine like terms: 0 + -191 = -191 26x + x2 = -191 The x term is 26x. Take half its coefficient (13). Square it (169) and add it to both sides. Add '169' to each side of the equation. 26x + 169 + x2 = -191 + 169 Reorder the terms: 169 + 26x + x2 = -191 + 169 Combine like terms: -191 + 169 = -22 169 + 26x + x2 = -22 Factor a perfect square on the left side: (x + 13)(x + 13) = -22 Can't calculate square root of the right side. The solution to this equation could not be determined.
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