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Simplifying 35y2 + 2y + 48 = 0 Reorder the terms: 48 + 2y + 35y2 = 0 Solving 48 + 2y + 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'. 1.371428571 + 0.05714285714y + y2 = 0 Move the constant term to the right: Add '-1.371428571' to each side of the equation. 1.371428571 + 0.05714285714y + -1.371428571 + y2 = 0 + -1.371428571 Reorder the terms: 1.371428571 + -1.371428571 + 0.05714285714y + y2 = 0 + -1.371428571 Combine like terms: 1.371428571 + -1.371428571 = 0.000000000 0.000000000 + 0.05714285714y + y2 = 0 + -1.371428571 0.05714285714y + y2 = 0 + -1.371428571 Combine like terms: 0 + -1.371428571 = -1.371428571 0.05714285714y + y2 = -1.371428571 The y term is 0.05714285714y. Take half its coefficient (0.02857142857). Square it (0.0008163265305) and add it to both sides. Add '0.0008163265305' to each side of the equation. 0.05714285714y + 0.0008163265305 + y2 = -1.371428571 + 0.0008163265305 Reorder the terms: 0.0008163265305 + 0.05714285714y + y2 = -1.371428571 + 0.0008163265305 Combine like terms: -1.371428571 + 0.0008163265305 = -1.3706122444695 0.0008163265305 + 0.05714285714y + y2 = -1.3706122444695 Factor a perfect square on the left side: (y + 0.02857142857)(y + 0.02857142857) = -1.3706122444695 Can't calculate square root of the right side. The solution to this equation could not be determined.
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