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Simplifying x2 + x + 11 = 5x + -8 Reorder the terms: 11 + x + x2 = 5x + -8 Reorder the terms: 11 + x + x2 = -8 + 5x Solving 11 + x + x2 = -8 + 5x Solving for variable 'x'. Reorder the terms: 11 + 8 + x + -5x + x2 = -8 + 5x + 8 + -5x Combine like terms: 11 + 8 = 19 19 + x + -5x + x2 = -8 + 5x + 8 + -5x Combine like terms: x + -5x = -4x 19 + -4x + x2 = -8 + 5x + 8 + -5x Reorder the terms: 19 + -4x + x2 = -8 + 8 + 5x + -5x Combine like terms: -8 + 8 = 0 19 + -4x + x2 = 0 + 5x + -5x 19 + -4x + x2 = 5x + -5x Combine like terms: 5x + -5x = 0 19 + -4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-19' to each side of the equation. 19 + -4x + -19 + x2 = 0 + -19 Reorder the terms: 19 + -19 + -4x + x2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -4x + x2 = 0 + -19 -4x + x2 = 0 + -19 Combine like terms: 0 + -19 = -19 -4x + x2 = -19 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -19 + 4 Reorder the terms: 4 + -4x + x2 = -19 + 4 Combine like terms: -19 + 4 = -15 4 + -4x + x2 = -15 Factor a perfect square on the left side: (x + -2)(x + -2) = -15 Can't calculate square root of the right side. The solution to this equation could not be determined.
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