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Simplifying x2 + 30x + 255 = 17(x + 5) Reorder the terms: 255 + 30x + x2 = 17(x + 5) Reorder the terms: 255 + 30x + x2 = 17(5 + x) 255 + 30x + x2 = (5 * 17 + x * 17) 255 + 30x + x2 = (85 + 17x) Solving 255 + 30x + x2 = 85 + 17x Solving for variable 'x'. Reorder the terms: 255 + -85 + 30x + -17x + x2 = 85 + 17x + -85 + -17x Combine like terms: 255 + -85 = 170 170 + 30x + -17x + x2 = 85 + 17x + -85 + -17x Combine like terms: 30x + -17x = 13x 170 + 13x + x2 = 85 + 17x + -85 + -17x Reorder the terms: 170 + 13x + x2 = 85 + -85 + 17x + -17x Combine like terms: 85 + -85 = 0 170 + 13x + x2 = 0 + 17x + -17x 170 + 13x + x2 = 17x + -17x Combine like terms: 17x + -17x = 0 170 + 13x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-170' to each side of the equation. 170 + 13x + -170 + x2 = 0 + -170 Reorder the terms: 170 + -170 + 13x + x2 = 0 + -170 Combine like terms: 170 + -170 = 0 0 + 13x + x2 = 0 + -170 13x + x2 = 0 + -170 Combine like terms: 0 + -170 = -170 13x + x2 = -170 The x term is 13x. Take half its coefficient (6.5). Square it (42.25) and add it to both sides. Add '42.25' to each side of the equation. 13x + 42.25 + x2 = -170 + 42.25 Reorder the terms: 42.25 + 13x + x2 = -170 + 42.25 Combine like terms: -170 + 42.25 = -127.75 42.25 + 13x + x2 = -127.75 Factor a perfect square on the left side: (x + 6.5)(x + 6.5) = -127.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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