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Simplifying 0 = 2x2 + -21x + 60 Reorder the terms: 0 = 60 + -21x + 2x2 Solving 0 = 60 + -21x + 2x2 Solving for variable 'x'. Combine like terms: 0 + -60 = -60 -60 + 21x + -2x2 = 60 + -21x + 2x2 + -60 + 21x + -2x2 Reorder the terms: -60 + 21x + -2x2 = 60 + -60 + -21x + 21x + 2x2 + -2x2 Combine like terms: 60 + -60 = 0 -60 + 21x + -2x2 = 0 + -21x + 21x + 2x2 + -2x2 -60 + 21x + -2x2 = -21x + 21x + 2x2 + -2x2 Combine like terms: -21x + 21x = 0 -60 + 21x + -2x2 = 0 + 2x2 + -2x2 -60 + 21x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 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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