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Simplifying (40 + -1y) + -1(10y + -1y2) = 0 Remove parenthesis around (40 + -1y) 40 + -1y + -1(10y + -1y2) = 0 40 + -1y + (10y * -1 + -1y2 * -1) = 0 40 + -1y + (-10y + 1y2) = 0 Combine like terms: -1y + -10y = -11y 40 + -11y + 1y2 = 0 Solving 40 + -11y + 1y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-40' to each side of the equation. 40 + -11y + -40 + y2 = 0 + -40 Reorder the terms: 40 + -40 + -11y + y2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -11y + y2 = 0 + -40 -11y + y2 = 0 + -40 Combine like terms: 0 + -40 = -40 -11y + y2 = -40 The y term is -11y. Take half its coefficient (-5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. -11y + 30.25 + y2 = -40 + 30.25 Reorder the terms: 30.25 + -11y + y2 = -40 + 30.25 Combine like terms: -40 + 30.25 = -9.75 30.25 + -11y + y2 = -9.75 Factor a perfect square on the left side: (y + -5.5)(y + -5.5) = -9.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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