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Simplifying x2 + 2x + 25 = 7 Reorder the terms: 25 + 2x + x2 = 7 Solving 25 + 2x + x2 = 7 Solving for variable 'x'. Reorder the terms: 25 + -7 + 2x + x2 = 7 + -7 Combine like terms: 25 + -7 = 18 18 + 2x + x2 = 7 + -7 Combine like terms: 7 + -7 = 0 18 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-18' to each side of the equation. 18 + 2x + -18 + x2 = 0 + -18 Reorder the terms: 18 + -18 + 2x + x2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 2x + x2 = 0 + -18 2x + x2 = 0 + -18 Combine like terms: 0 + -18 = -18 2x + x2 = -18 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -18 + 1 Reorder the terms: 1 + 2x + x2 = -18 + 1 Combine like terms: -18 + 1 = -17 1 + 2x + x2 = -17 Factor a perfect square on the left side: (x + 1)(x + 1) = -17 Can't calculate square root of the right side. The solution to this equation could not be determined.
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