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Simplifying 2y2 + -9y + 21 = 0 Reorder the terms: 21 + -9y + 2y2 = 0 Solving 21 + -9y + 2y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 10.5 + -4.5y + y2 = 0 Move the constant term to the right: Add '-10.5' to each side of the equation. 10.5 + -4.5y + -10.5 + y2 = 0 + -10.5 Reorder the terms: 10.5 + -10.5 + -4.5y + y2 = 0 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + -4.5y + y2 = 0 + -10.5 -4.5y + y2 = 0 + -10.5 Combine like terms: 0 + -10.5 = -10.5 -4.5y + y2 = -10.5 The y term is -4.5y. Take half its coefficient (-2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. -4.5y + 5.0625 + y2 = -10.5 + 5.0625 Reorder the terms: 5.0625 + -4.5y + y2 = -10.5 + 5.0625 Combine like terms: -10.5 + 5.0625 = -5.4375 5.0625 + -4.5y + y2 = -5.4375 Factor a perfect square on the left side: (y + -2.25)(y + -2.25) = -5.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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