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Simplifying 4y2 + 10y + 21 = 0 Reorder the terms: 21 + 10y + 4y2 = 0 Solving 21 + 10y + 4y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 5.25 + 2.5y + y2 = 0 Move the constant term to the right: Add '-5.25' to each side of the equation. 5.25 + 2.5y + -5.25 + y2 = 0 + -5.25 Reorder the terms: 5.25 + -5.25 + 2.5y + y2 = 0 + -5.25 Combine like terms: 5.25 + -5.25 = 0.00 0.00 + 2.5y + y2 = 0 + -5.25 2.5y + y2 = 0 + -5.25 Combine like terms: 0 + -5.25 = -5.25 2.5y + y2 = -5.25 The y term is 2.5y. Take half its coefficient (1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. 2.5y + 1.5625 + y2 = -5.25 + 1.5625 Reorder the terms: 1.5625 + 2.5y + y2 = -5.25 + 1.5625 Combine like terms: -5.25 + 1.5625 = -3.6875 1.5625 + 2.5y + y2 = -3.6875 Factor a perfect square on the left side: (y + 1.25)(y + 1.25) = -3.6875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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