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Simplifying 10y2 + -8y + 7 = 0 Reorder the terms: 7 + -8y + 10y2 = 0 Solving 7 + -8y + 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 + -0.8y + y2 = 0 Move the constant term to the right: Add '-0.7' to each side of the equation. 0.7 + -0.8y + -0.7 + y2 = 0 + -0.7 Reorder the terms: 0.7 + -0.7 + -0.8y + y2 = 0 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + -0.8y + y2 = 0 + -0.7 -0.8y + y2 = 0 + -0.7 Combine like terms: 0 + -0.7 = -0.7 -0.8y + y2 = -0.7 The y term is -0.8y. Take half its coefficient (-0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. -0.8y + 0.16 + y2 = -0.7 + 0.16 Reorder the terms: 0.16 + -0.8y + y2 = -0.7 + 0.16 Combine like terms: -0.7 + 0.16 = -0.54 0.16 + -0.8y + y2 = -0.54 Factor a perfect square on the left side: (y + -0.4)(y + -0.4) = -0.54 Can't calculate square root of the right side. The solution to this equation could not be determined.
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