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Simplifying 3y2 + 12y + 32 = 0 Reorder the terms: 32 + 12y + 3y2 = 0 Solving 32 + 12y + 3y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 10.66666667 + 4y + y2 = 0 Move the constant term to the right: Add '-10.66666667' to each side of the equation. 10.66666667 + 4y + -10.66666667 + y2 = 0 + -10.66666667 Reorder the terms: 10.66666667 + -10.66666667 + 4y + y2 = 0 + -10.66666667 Combine like terms: 10.66666667 + -10.66666667 = 0.00000000 0.00000000 + 4y + y2 = 0 + -10.66666667 4y + y2 = 0 + -10.66666667 Combine like terms: 0 + -10.66666667 = -10.66666667 4y + y2 = -10.66666667 The y term is 4y. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4y + 4 + y2 = -10.66666667 + 4 Reorder the terms: 4 + 4y + y2 = -10.66666667 + 4 Combine like terms: -10.66666667 + 4 = -6.66666667 4 + 4y + y2 = -6.66666667 Factor a perfect square on the left side: (y + 2)(y + 2) = -6.66666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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