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Simplifying 25y2 + -10y + 7 = 0 Reorder the terms: 7 + -10y + 25y2 = 0 Solving 7 + -10y + 25y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.28 + -0.4y + y2 = 0 Move the constant term to the right: Add '-0.28' to each side of the equation. 0.28 + -0.4y + -0.28 + y2 = 0 + -0.28 Reorder the terms: 0.28 + -0.28 + -0.4y + y2 = 0 + -0.28 Combine like terms: 0.28 + -0.28 = 0.00 0.00 + -0.4y + y2 = 0 + -0.28 -0.4y + y2 = 0 + -0.28 Combine like terms: 0 + -0.28 = -0.28 -0.4y + y2 = -0.28 The y term is -0.4y. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4y + 0.04 + y2 = -0.28 + 0.04 Reorder the terms: 0.04 + -0.4y + y2 = -0.28 + 0.04 Combine like terms: -0.28 + 0.04 = -0.24 0.04 + -0.4y + y2 = -0.24 Factor a perfect square on the left side: (y + -0.2)(y + -0.2) = -0.24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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