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Simplifying x2 + 2x + 11 = -90 Reorder the terms: 11 + 2x + x2 = -90 Solving 11 + 2x + x2 = -90 Solving for variable 'x'. Reorder the terms: 11 + 90 + 2x + x2 = -90 + 90 Combine like terms: 11 + 90 = 101 101 + 2x + x2 = -90 + 90 Combine like terms: -90 + 90 = 0 101 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-101' to each side of the equation. 101 + 2x + -101 + x2 = 0 + -101 Reorder the terms: 101 + -101 + 2x + x2 = 0 + -101 Combine like terms: 101 + -101 = 0 0 + 2x + x2 = 0 + -101 2x + x2 = 0 + -101 Combine like terms: 0 + -101 = -101 2x + x2 = -101 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 = -101 + 1 Reorder the terms: 1 + 2x + x2 = -101 + 1 Combine like terms: -101 + 1 = -100 1 + 2x + x2 = -100 Factor a perfect square on the left side: (x + 1)(x + 1) = -100 Can't calculate square root of the right side. The solution to this equation could not be determined.
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