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Simplifying (5y2 + 5y + 1) + -1(y2 + -11) = 0 Reorder the terms: (1 + 5y + 5y2) + -1(y2 + -11) = 0 Remove parenthesis around (1 + 5y + 5y2) 1 + 5y + 5y2 + -1(y2 + -11) = 0 Reorder the terms: 1 + 5y + 5y2 + -1(-11 + y2) = 0 1 + 5y + 5y2 + (-11 * -1 + y2 * -1) = 0 1 + 5y + 5y2 + (11 + -1y2) = 0 Reorder the terms: 1 + 11 + 5y + 5y2 + -1y2 = 0 Combine like terms: 1 + 11 = 12 12 + 5y + 5y2 + -1y2 = 0 Combine like terms: 5y2 + -1y2 = 4y2 12 + 5y + 4y2 = 0 Solving 12 + 5y + 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 + 1.25y + y2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + 1.25y + -3 + y2 = 0 + -3 Reorder the terms: 3 + -3 + 1.25y + y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 1.25y + y2 = 0 + -3 1.25y + y2 = 0 + -3 Combine like terms: 0 + -3 = -3 1.25y + y2 = -3 The y term is 1.25y. Take half its coefficient (0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. 1.25y + 0.390625 + y2 = -3 + 0.390625 Reorder the terms: 0.390625 + 1.25y + y2 = -3 + 0.390625 Combine like terms: -3 + 0.390625 = -2.609375 0.390625 + 1.25y + y2 = -2.609375 Factor a perfect square on the left side: (y + 0.625)(y + 0.625) = -2.609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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