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Simplifying 2x2 + 22x + 60 = x Reorder the terms: 60 + 22x + 2x2 = x Solving 60 + 22x + 2x2 = x Solving for variable 'x'. Reorder the terms: 60 + 22x + -1x + 2x2 = x + -1x Combine like terms: 22x + -1x = 21x 60 + 21x + 2x2 = x + -1x Combine like terms: x + -1x = 0 60 + 21x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 30 + 10.5x + x2 = 0 Move the constant term to the right: Add '-30' to each side of the equation. 30 + 10.5x + -30 + x2 = 0 + -30 Reorder the terms: 30 + -30 + 10.5x + x2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 10.5x + x2 = 0 + -30 10.5x + x2 = 0 + -30 Combine like terms: 0 + -30 = -30 10.5x + x2 = -30 The x term is 10.5x. Take half its coefficient (5.25). Square it (27.5625) and add it to both sides. Add '27.5625' to each side of the equation. 10.5x + 27.5625 + x2 = -30 + 27.5625 Reorder the terms: 27.5625 + 10.5x + x2 = -30 + 27.5625 Combine like terms: -30 + 27.5625 = -2.4375 27.5625 + 10.5x + x2 = -2.4375 Factor a perfect square on the left side: (x + 5.25)(x + 5.25) = -2.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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