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Simplifying 35y2 + -7y + 3 = 0 Reorder the terms: 3 + -7y + 35y2 = 0 Solving 3 + -7y + 35y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 35 the coefficient of the squared term: Divide each side by '35'. 0.08571428571 + -0.2y + y2 = 0 Move the constant term to the right: Add '-0.08571428571' to each side of the equation. 0.08571428571 + -0.2y + -0.08571428571 + y2 = 0 + -0.08571428571 Reorder the terms: 0.08571428571 + -0.08571428571 + -0.2y + y2 = 0 + -0.08571428571 Combine like terms: 0.08571428571 + -0.08571428571 = 0.00000000000 0.00000000000 + -0.2y + y2 = 0 + -0.08571428571 -0.2y + y2 = 0 + -0.08571428571 Combine like terms: 0 + -0.08571428571 = -0.08571428571 -0.2y + y2 = -0.08571428571 The y term is -0.2y. Take half its coefficient (-0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. -0.2y + 0.01 + y2 = -0.08571428571 + 0.01 Reorder the terms: 0.01 + -0.2y + y2 = -0.08571428571 + 0.01 Combine like terms: -0.08571428571 + 0.01 = -0.07571428571 0.01 + -0.2y + y2 = -0.07571428571 Factor a perfect square on the left side: (y + -0.1)(y + -0.1) = -0.07571428571 Can't calculate square root of the right side. The solution to this equation could not be determined.
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