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Simplifying 0 = 5y2 + -11y + 10 Reorder the terms: 0 = 10 + -11y + 5y2 Solving 0 = 10 + -11y + 5y2 Solving for variable 'y'. Combine like terms: 0 + -10 = -10 -10 + 11y + -5y2 = 10 + -11y + 5y2 + -10 + 11y + -5y2 Reorder the terms: -10 + 11y + -5y2 = 10 + -10 + -11y + 11y + 5y2 + -5y2 Combine like terms: 10 + -10 = 0 -10 + 11y + -5y2 = 0 + -11y + 11y + 5y2 + -5y2 -10 + 11y + -5y2 = -11y + 11y + 5y2 + -5y2 Combine like terms: -11y + 11y = 0 -10 + 11y + -5y2 = 0 + 5y2 + -5y2 -10 + 11y + -5y2 = 5y2 + -5y2 Combine like terms: 5y2 + -5y2 = 0 -10 + 11y + -5y2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 2 + -2.2y + y2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -2.2y + -2 + y2 = 0 + -2 Reorder the terms: 2 + -2 + -2.2y + y2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2.2y + y2 = 0 + -2 -2.2y + y2 = 0 + -2 Combine like terms: 0 + -2 = -2 -2.2y + y2 = -2 The y term is -2.2y. Take half its coefficient (-1.1). Square it (1.21) and add it to both sides. Add '1.21' to each side of the equation. -2.2y + 1.21 + y2 = -2 + 1.21 Reorder the terms: 1.21 + -2.2y + y2 = -2 + 1.21 Combine like terms: -2 + 1.21 = -0.79 1.21 + -2.2y + y2 = -0.79 Factor a perfect square on the left side: (y + -1.1)(y + -1.1) = -0.79 Can't calculate square root of the right side. The solution to this equation could not be determined.
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