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Simplifying 8(8y2 + -9y + 9) + -3(8y2 + -9y + 5) = 0 Reorder the terms: 8(9 + -9y + 8y2) + -3(8y2 + -9y + 5) = 0 (9 * 8 + -9y * 8 + 8y2 * 8) + -3(8y2 + -9y + 5) = 0 (72 + -72y + 64y2) + -3(8y2 + -9y + 5) = 0 Reorder the terms: 72 + -72y + 64y2 + -3(5 + -9y + 8y2) = 0 72 + -72y + 64y2 + (5 * -3 + -9y * -3 + 8y2 * -3) = 0 72 + -72y + 64y2 + (-15 + 27y + -24y2) = 0 Reorder the terms: 72 + -15 + -72y + 27y + 64y2 + -24y2 = 0 Combine like terms: 72 + -15 = 57 57 + -72y + 27y + 64y2 + -24y2 = 0 Combine like terms: -72y + 27y = -45y 57 + -45y + 64y2 + -24y2 = 0 Combine like terms: 64y2 + -24y2 = 40y2 57 + -45y + 40y2 = 0 Solving 57 + -45y + 40y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 40 the coefficient of the squared term: Divide each side by '40'. 1.425 + -1.125y + y2 = 0.0 Move the constant term to the right: Add '-1.425' to each side of the equation. 1.425 + -1.125y + -1.425 + y2 = 0.0 + -1.425 Reorder the terms: 1.425 + -1.425 + -1.125y + y2 = 0.0 + -1.425 Combine like terms: 1.425 + -1.425 = 0.000 0.000 + -1.125y + y2 = 0.0 + -1.425 -1.125y + y2 = 0.0 + -1.425 Combine like terms: 0.0 + -1.425 = -1.425 -1.125y + y2 = -1.425 The y term is -1.125y. Take half its coefficient (-0.5625). Square it (0.31640625) and add it to both sides. Add '0.31640625' to each side of the equation. -1.125y + 0.31640625 + y2 = -1.425 + 0.31640625 Reorder the terms: 0.31640625 + -1.125y + y2 = -1.425 + 0.31640625 Combine like terms: -1.425 + 0.31640625 = -1.10859375 0.31640625 + -1.125y + y2 = -1.10859375 Factor a perfect square on the left side: (y + -0.5625)(y + -0.5625) = -1.10859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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