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Simplifying x2 + 14x + 49 = -18 Reorder the terms: 49 + 14x + x2 = -18 Solving 49 + 14x + x2 = -18 Solving for variable 'x'. Reorder the terms: 49 + 18 + 14x + x2 = -18 + 18 Combine like terms: 49 + 18 = 67 67 + 14x + x2 = -18 + 18 Combine like terms: -18 + 18 = 0 67 + 14x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-67' to each side of the equation. 67 + 14x + -67 + x2 = 0 + -67 Reorder the terms: 67 + -67 + 14x + x2 = 0 + -67 Combine like terms: 67 + -67 = 0 0 + 14x + x2 = 0 + -67 14x + x2 = 0 + -67 Combine like terms: 0 + -67 = -67 14x + x2 = -67 The x term is 14x. Take half its coefficient (7). Square it (49) and add it to both sides. Add '49' to each side of the equation. 14x + 49 + x2 = -67 + 49 Reorder the terms: 49 + 14x + x2 = -67 + 49 Combine like terms: -67 + 49 = -18 49 + 14x + x2 = -18 Factor a perfect square on the left side: (x + 7)(x + 7) = -18 Can't calculate square root of the right side. The solution to this equation could not be determined.
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