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Simplifying x2 + 11x + 38 = 3x + 5 Reorder the terms: 38 + 11x + x2 = 3x + 5 Reorder the terms: 38 + 11x + x2 = 5 + 3x Solving 38 + 11x + x2 = 5 + 3x Solving for variable 'x'. Reorder the terms: 38 + -5 + 11x + -3x + x2 = 5 + 3x + -5 + -3x Combine like terms: 38 + -5 = 33 33 + 11x + -3x + x2 = 5 + 3x + -5 + -3x Combine like terms: 11x + -3x = 8x 33 + 8x + x2 = 5 + 3x + -5 + -3x Reorder the terms: 33 + 8x + x2 = 5 + -5 + 3x + -3x Combine like terms: 5 + -5 = 0 33 + 8x + x2 = 0 + 3x + -3x 33 + 8x + x2 = 3x + -3x Combine like terms: 3x + -3x = 0 33 + 8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-33' to each side of the equation. 33 + 8x + -33 + x2 = 0 + -33 Reorder the terms: 33 + -33 + 8x + x2 = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 8x + x2 = 0 + -33 8x + x2 = 0 + -33 Combine like terms: 0 + -33 = -33 8x + x2 = -33 The x term is 8x. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8x + 16 + x2 = -33 + 16 Reorder the terms: 16 + 8x + x2 = -33 + 16 Combine like terms: -33 + 16 = -17 16 + 8x + x2 = -17 Factor a perfect square on the left side: (x + 4)(x + 4) = -17 Can't calculate square root of the right side. The solution to this equation could not be determined.
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