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Simplifying x2 + -4x + 11 = -6x + -3 Reorder the terms: 11 + -4x + x2 = -6x + -3 Reorder the terms: 11 + -4x + x2 = -3 + -6x Solving 11 + -4x + x2 = -3 + -6x Solving for variable 'x'. Reorder the terms: 11 + 3 + -4x + 6x + x2 = -3 + -6x + 3 + 6x Combine like terms: 11 + 3 = 14 14 + -4x + 6x + x2 = -3 + -6x + 3 + 6x Combine like terms: -4x + 6x = 2x 14 + 2x + x2 = -3 + -6x + 3 + 6x Reorder the terms: 14 + 2x + x2 = -3 + 3 + -6x + 6x Combine like terms: -3 + 3 = 0 14 + 2x + x2 = 0 + -6x + 6x 14 + 2x + x2 = -6x + 6x Combine like terms: -6x + 6x = 0 14 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-14' to each side of the equation. 14 + 2x + -14 + x2 = 0 + -14 Reorder the terms: 14 + -14 + 2x + x2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 2x + x2 = 0 + -14 2x + x2 = 0 + -14 Combine like terms: 0 + -14 = -14 2x + x2 = -14 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 = -14 + 1 Reorder the terms: 1 + 2x + x2 = -14 + 1 Combine like terms: -14 + 1 = -13 1 + 2x + x2 = -13 Factor a perfect square on the left side: (x + 1)(x + 1) = -13 Can't calculate square root of the right side. The solution to this equation could not be determined.
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