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Simplifying 13y2 + -32y + 21 = 0 Reorder the terms: 21 + -32y + 13y2 = 0 Solving 21 + -32y + 13y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 1.615384615 + -2.461538462y + y2 = 0 Move the constant term to the right: Add '-1.615384615' to each side of the equation. 1.615384615 + -2.461538462y + -1.615384615 + y2 = 0 + -1.615384615 Reorder the terms: 1.615384615 + -1.615384615 + -2.461538462y + y2 = 0 + -1.615384615 Combine like terms: 1.615384615 + -1.615384615 = 0.000000000 0.000000000 + -2.461538462y + y2 = 0 + -1.615384615 -2.461538462y + y2 = 0 + -1.615384615 Combine like terms: 0 + -1.615384615 = -1.615384615 -2.461538462y + y2 = -1.615384615 The y term is -2.461538462y. Take half its coefficient (-1.230769231). Square it (1.514792900) and add it to both sides. Add '1.514792900' to each side of the equation. -2.461538462y + 1.514792900 + y2 = -1.615384615 + 1.514792900 Reorder the terms: 1.514792900 + -2.461538462y + y2 = -1.615384615 + 1.514792900 Combine like terms: -1.615384615 + 1.514792900 = -0.100591715 1.514792900 + -2.461538462y + y2 = -0.100591715 Factor a perfect square on the left side: (y + -1.230769231)(y + -1.230769231) = -0.100591715 Can't calculate square root of the right side. The solution to this equation could not be determined.
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