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Simplifying 4y2 + 13y + 12 = 0 Reorder the terms: 12 + 13y + 4y2 = 0 Solving 12 + 13y + 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'. 3 + 3.25y + y2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + 3.25y + -3 + y2 = 0 + -3 Reorder the terms: 3 + -3 + 3.25y + y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 3.25y + y2 = 0 + -3 3.25y + y2 = 0 + -3 Combine like terms: 0 + -3 = -3 3.25y + y2 = -3 The y term is 3.25y. Take half its coefficient (1.625). Square it (2.640625) and add it to both sides. Add '2.640625' to each side of the equation. 3.25y + 2.640625 + y2 = -3 + 2.640625 Reorder the terms: 2.640625 + 3.25y + y2 = -3 + 2.640625 Combine like terms: -3 + 2.640625 = -0.359375 2.640625 + 3.25y + y2 = -0.359375 Factor a perfect square on the left side: (y + 1.625)(y + 1.625) = -0.359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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