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Simplifying x2 + 17x + 60 = 5x + 10 Reorder the terms: 60 + 17x + x2 = 5x + 10 Reorder the terms: 60 + 17x + x2 = 10 + 5x Solving 60 + 17x + x2 = 10 + 5x Solving for variable 'x'. Reorder the terms: 60 + -10 + 17x + -5x + x2 = 10 + 5x + -10 + -5x Combine like terms: 60 + -10 = 50 50 + 17x + -5x + x2 = 10 + 5x + -10 + -5x Combine like terms: 17x + -5x = 12x 50 + 12x + x2 = 10 + 5x + -10 + -5x Reorder the terms: 50 + 12x + x2 = 10 + -10 + 5x + -5x Combine like terms: 10 + -10 = 0 50 + 12x + x2 = 0 + 5x + -5x 50 + 12x + x2 = 5x + -5x Combine like terms: 5x + -5x = 0 50 + 12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-50' to each side of the equation. 50 + 12x + -50 + x2 = 0 + -50 Reorder the terms: 50 + -50 + 12x + x2 = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 12x + x2 = 0 + -50 12x + x2 = 0 + -50 Combine like terms: 0 + -50 = -50 12x + x2 = -50 The x term is 12x. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12x + 36 + x2 = -50 + 36 Reorder the terms: 36 + 12x + x2 = -50 + 36 Combine like terms: -50 + 36 = -14 36 + 12x + x2 = -14 Factor a perfect square on the left side: (x + 6)(x + 6) = -14 Can't calculate square root of the right side. The solution to this equation could not be determined.
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