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Simplifying 3y(-5 + 9y) = -41 (-5 * 3y + 9y * 3y) = -41 (-15y + 27y2) = -41 Solving -15y + 27y2 = -41 Solving for variable 'y'. Reorder the terms: 41 + -15y + 27y2 = -41 + 41 Combine like terms: -41 + 41 = 0 41 + -15y + 27y2 = 0 Begin completing the square. Divide all terms by 27 the coefficient of the squared term: Divide each side by '27'. 1.518518519 + -0.5555555556y + y2 = 0 Move the constant term to the right: Add '-1.518518519' to each side of the equation. 1.518518519 + -0.5555555556y + -1.518518519 + y2 = 0 + -1.518518519 Reorder the terms: 1.518518519 + -1.518518519 + -0.5555555556y + y2 = 0 + -1.518518519 Combine like terms: 1.518518519 + -1.518518519 = 0.000000000 0.000000000 + -0.5555555556y + y2 = 0 + -1.518518519 -0.5555555556y + y2 = 0 + -1.518518519 Combine like terms: 0 + -1.518518519 = -1.518518519 -0.5555555556y + y2 = -1.518518519 The y term is -0.5555555556y. Take half its coefficient (-0.2777777778). Square it (0.07716049384) and add it to both sides. Add '0.07716049384' to each side of the equation. -0.5555555556y + 0.07716049384 + y2 = -1.518518519 + 0.07716049384 Reorder the terms: 0.07716049384 + -0.5555555556y + y2 = -1.518518519 + 0.07716049384 Combine like terms: -1.518518519 + 0.07716049384 = -1.44135802516 0.07716049384 + -0.5555555556y + y2 = -1.44135802516 Factor a perfect square on the left side: (y + -0.2777777778)(y + -0.2777777778) = -1.44135802516 Can't calculate square root of the right side. The solution to this equation could not be determined.
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