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Simplifying x2 + 4x + 11 = 9 + 2x Reorder the terms: 11 + 4x + x2 = 9 + 2x Solving 11 + 4x + x2 = 9 + 2x Solving for variable 'x'. Reorder the terms: 11 + -9 + 4x + -2x + x2 = 9 + 2x + -9 + -2x Combine like terms: 11 + -9 = 2 2 + 4x + -2x + x2 = 9 + 2x + -9 + -2x Combine like terms: 4x + -2x = 2x 2 + 2x + x2 = 9 + 2x + -9 + -2x Reorder the terms: 2 + 2x + x2 = 9 + -9 + 2x + -2x Combine like terms: 9 + -9 = 0 2 + 2x + x2 = 0 + 2x + -2x 2 + 2x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 2 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-2' to each side of the equation. 2 + 2x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + 2x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2x + x2 = 0 + -2 2x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 2x + x2 = -2 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 = -2 + 1 Reorder the terms: 1 + 2x + x2 = -2 + 1 Combine like terms: -2 + 1 = -1 1 + 2x + x2 = -1 Factor a perfect square on the left side: (x + 1)(x + 1) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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