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Simplifying 0 = -1x2 + -6x + -11 Reorder the terms: 0 = -11 + -6x + -1x2 Solving 0 = -11 + -6x + -1x2 Solving for variable 'x'. Combine like terms: 0 + 11 = 11 11 + 6x + x2 = -11 + -6x + -1x2 + 11 + 6x + x2 Reorder the terms: 11 + 6x + x2 = -11 + 11 + -6x + 6x + -1x2 + x2 Combine like terms: -11 + 11 = 0 11 + 6x + x2 = 0 + -6x + 6x + -1x2 + x2 11 + 6x + x2 = -6x + 6x + -1x2 + x2 Combine like terms: -6x + 6x = 0 11 + 6x + x2 = 0 + -1x2 + x2 11 + 6x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 11 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + 6x + -11 + x2 = 0 + -11 Reorder the terms: 11 + -11 + 6x + x2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 6x + x2 = 0 + -11 6x + x2 = 0 + -11 Combine like terms: 0 + -11 = -11 6x + x2 = -11 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = -11 + 9 Reorder the terms: 9 + 6x + x2 = -11 + 9 Combine like terms: -11 + 9 = -2 9 + 6x + x2 = -2 Factor a perfect square on the left side: (x + 3)(x + 3) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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