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Simplifying (10y2 + 8y + 4) + -1(2y + y2 + -12) = 0 Reorder the terms: (4 + 8y + 10y2) + -1(2y + y2 + -12) = 0 Remove parenthesis around (4 + 8y + 10y2) 4 + 8y + 10y2 + -1(2y + y2 + -12) = 0 Reorder the terms: 4 + 8y + 10y2 + -1(-12 + 2y + y2) = 0 4 + 8y + 10y2 + (-12 * -1 + 2y * -1 + y2 * -1) = 0 4 + 8y + 10y2 + (12 + -2y + -1y2) = 0 Reorder the terms: 4 + 12 + 8y + -2y + 10y2 + -1y2 = 0 Combine like terms: 4 + 12 = 16 16 + 8y + -2y + 10y2 + -1y2 = 0 Combine like terms: 8y + -2y = 6y 16 + 6y + 10y2 + -1y2 = 0 Combine like terms: 10y2 + -1y2 = 9y2 16 + 6y + 9y2 = 0 Solving 16 + 6y + 9y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1.777777778 + 0.6666666667y + y2 = 0 Move the constant term to the right: Add '-1.777777778' to each side of the equation. 1.777777778 + 0.6666666667y + -1.777777778 + y2 = 0 + -1.777777778 Reorder the terms: 1.777777778 + -1.777777778 + 0.6666666667y + y2 = 0 + -1.777777778 Combine like terms: 1.777777778 + -1.777777778 = 0.000000000 0.000000000 + 0.6666666667y + y2 = 0 + -1.777777778 0.6666666667y + y2 = 0 + -1.777777778 Combine like terms: 0 + -1.777777778 = -1.777777778 0.6666666667y + y2 = -1.777777778 The y term is 0.6666666667y. Take half its coefficient (0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. 0.6666666667y + 0.1111111112 + y2 = -1.777777778 + 0.1111111112 Reorder the terms: 0.1111111112 + 0.6666666667y + y2 = -1.777777778 + 0.1111111112 Combine like terms: -1.777777778 + 0.1111111112 = -1.6666666668 0.1111111112 + 0.6666666667y + y2 = -1.6666666668 Factor a perfect square on the left side: (y + 0.3333333334)(y + 0.3333333334) = -1.6666666668 Can't calculate square root of the right side. The solution to this equation could not be determined.
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