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Simplifying 19x2 + -60x + 54 = 0 Reorder the terms: 54 + -60x + 19x2 = 0 Solving 54 + -60x + 19x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 19 the coefficient of the squared term: Divide each side by '19'. 2.842105263 + -3.157894737x + x2 = 0 Move the constant term to the right: Add '-2.842105263' to each side of the equation. 2.842105263 + -3.157894737x + -2.842105263 + x2 = 0 + -2.842105263 Reorder the terms: 2.842105263 + -2.842105263 + -3.157894737x + x2 = 0 + -2.842105263 Combine like terms: 2.842105263 + -2.842105263 = 0.000000000 0.000000000 + -3.157894737x + x2 = 0 + -2.842105263 -3.157894737x + x2 = 0 + -2.842105263 Combine like terms: 0 + -2.842105263 = -2.842105263 -3.157894737x + x2 = -2.842105263 The x term is -3.157894737x. Take half its coefficient (-1.578947369). Square it (2.493074794) and add it to both sides. Add '2.493074794' to each side of the equation. -3.157894737x + 2.493074794 + x2 = -2.842105263 + 2.493074794 Reorder the terms: 2.493074794 + -3.157894737x + x2 = -2.842105263 + 2.493074794 Combine like terms: -2.842105263 + 2.493074794 = -0.349030469 2.493074794 + -3.157894737x + x2 = -0.349030469 Factor a perfect square on the left side: (x + -1.578947369)(x + -1.578947369) = -0.349030469 Can't calculate square root of the right side. The solution to this equation could not be determined.
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