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Simplifying 21x2 + -25x + 60 = 0 Reorder the terms: 60 + -25x + 21x2 = 0 Solving 60 + -25x + 21x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 21 the coefficient of the squared term: Divide each side by '21'. 2.857142857 + -1.19047619x + x2 = 0 Move the constant term to the right: Add '-2.857142857' to each side of the equation. 2.857142857 + -1.19047619x + -2.857142857 + x2 = 0 + -2.857142857 Reorder the terms: 2.857142857 + -2.857142857 + -1.19047619x + x2 = 0 + -2.857142857 Combine like terms: 2.857142857 + -2.857142857 = 0.000000000 0.000000000 + -1.19047619x + x2 = 0 + -2.857142857 -1.19047619x + x2 = 0 + -2.857142857 Combine like terms: 0 + -2.857142857 = -2.857142857 -1.19047619x + x2 = -2.857142857 The x term is -1.19047619x. Take half its coefficient (-0.595238095). Square it (0.3543083897) and add it to both sides. Add '0.3543083897' to each side of the equation. -1.19047619x + 0.3543083897 + x2 = -2.857142857 + 0.3543083897 Reorder the terms: 0.3543083897 + -1.19047619x + x2 = -2.857142857 + 0.3543083897 Combine like terms: -2.857142857 + 0.3543083897 = -2.5028344673 0.3543083897 + -1.19047619x + x2 = -2.5028344673 Factor a perfect square on the left side: (x + -0.595238095)(x + -0.595238095) = -2.5028344673 Can't calculate square root of the right side. The solution to this equation could not be determined.
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