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Simplifying 10y2 + -15y + 7 = 0 Reorder the terms: 7 + -15y + 10y2 = 0 Solving 7 + -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'. 0.7 + -1.5y + y2 = 0 Move the constant term to the right: Add '-0.7' to each side of the equation. 0.7 + -1.5y + -0.7 + y2 = 0 + -0.7 Reorder the terms: 0.7 + -0.7 + -1.5y + y2 = 0 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + -1.5y + y2 = 0 + -0.7 -1.5y + y2 = 0 + -0.7 Combine like terms: 0 + -0.7 = -0.7 -1.5y + y2 = -0.7 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 = -0.7 + 0.5625 Reorder the terms: 0.5625 + -1.5y + y2 = -0.7 + 0.5625 Combine like terms: -0.7 + 0.5625 = -0.1375 0.5625 + -1.5y + y2 = -0.1375 Factor a perfect square on the left side: (y + -0.75)(y + -0.75) = -0.1375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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