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Simplifying 12y2 + 7y = -10 Reorder the terms: 7y + 12y2 = -10 Solving 7y + 12y2 = -10 Solving for variable 'y'. Reorder the terms: 10 + 7y + 12y2 = -10 + 10 Combine like terms: -10 + 10 = 0 10 + 7y + 12y2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 0.8333333333 + 0.5833333333y + y2 = 0 Move the constant term to the right: Add '-0.8333333333' to each side of the equation. 0.8333333333 + 0.5833333333y + -0.8333333333 + y2 = 0 + -0.8333333333 Reorder the terms: 0.8333333333 + -0.8333333333 + 0.5833333333y + y2 = 0 + -0.8333333333 Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000 0.0000000000 + 0.5833333333y + y2 = 0 + -0.8333333333 0.5833333333y + y2 = 0 + -0.8333333333 Combine like terms: 0 + -0.8333333333 = -0.8333333333 0.5833333333y + y2 = -0.8333333333 The y term is 0.5833333333y. Take half its coefficient (0.2916666667). Square it (0.08506944446) and add it to both sides. Add '0.08506944446' to each side of the equation. 0.5833333333y + 0.08506944446 + y2 = -0.8333333333 + 0.08506944446 Reorder the terms: 0.08506944446 + 0.5833333333y + y2 = -0.8333333333 + 0.08506944446 Combine like terms: -0.8333333333 + 0.08506944446 = -0.74826388884 0.08506944446 + 0.5833333333y + y2 = -0.74826388884 Factor a perfect square on the left side: (y + 0.2916666667)(y + 0.2916666667) = -0.74826388884 Can't calculate square root of the right side. The solution to this equation could not be determined.
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