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Simplifying 10y2 + 15y + 16 = 0 Reorder the terms: 16 + 15y + 10y2 = 0 Solving 16 + 15y + 10y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 1.6 + 1.5y + y2 = 0 Move the constant term to the right: Add '-1.6' to each side of the equation. 1.6 + 1.5y + -1.6 + y2 = 0 + -1.6 Reorder the terms: 1.6 + -1.6 + 1.5y + y2 = 0 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 1.5y + y2 = 0 + -1.6 1.5y + y2 = 0 + -1.6 Combine like terms: 0 + -1.6 = -1.6 1.5y + y2 = -1.6 The y term is 1.5y. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5y + 0.5625 + y2 = -1.6 + 0.5625 Reorder the terms: 0.5625 + 1.5y + y2 = -1.6 + 0.5625 Combine like terms: -1.6 + 0.5625 = -1.0375 0.5625 + 1.5y + y2 = -1.0375 Factor a perfect square on the left side: (y + 0.75)(y + 0.75) = -1.0375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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