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Simplifying 35x2 + 81 = 90x Reorder the terms: 81 + 35x2 = 90x Solving 81 + 35x2 = 90x Solving for variable 'x'. Reorder the terms: 81 + -90x + 35x2 = 90x + -90x Combine like terms: 90x + -90x = 0 81 + -90x + 35x2 = 0 Begin completing the square. Divide all terms by 35 the coefficient of the squared term: Divide each side by '35'. 2.314285714 + -2.571428571x + x2 = 0 Move the constant term to the right: Add '-2.314285714' to each side of the equation. 2.314285714 + -2.571428571x + -2.314285714 + x2 = 0 + -2.314285714 Reorder the terms: 2.314285714 + -2.314285714 + -2.571428571x + x2 = 0 + -2.314285714 Combine like terms: 2.314285714 + -2.314285714 = 0.000000000 0.000000000 + -2.571428571x + x2 = 0 + -2.314285714 -2.571428571x + x2 = 0 + -2.314285714 Combine like terms: 0 + -2.314285714 = -2.314285714 -2.571428571x + x2 = -2.314285714 The x term is -2.571428571x. Take half its coefficient (-1.285714286). Square it (1.653061225) and add it to both sides. Add '1.653061225' to each side of the equation. -2.571428571x + 1.653061225 + x2 = -2.314285714 + 1.653061225 Reorder the terms: 1.653061225 + -2.571428571x + x2 = -2.314285714 + 1.653061225 Combine like terms: -2.314285714 + 1.653061225 = -0.661224489 1.653061225 + -2.571428571x + x2 = -0.661224489 Factor a perfect square on the left side: (x + -1.285714286)(x + -1.285714286) = -0.661224489 Can't calculate square root of the right side. The solution to this equation could not be determined.
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