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Simplifying 3(y + -8) + -2 = -4(-4y + 5) * 3y Reorder the terms: 3(-8 + y) + -2 = -4(-4y + 5) * 3y (-8 * 3 + y * 3) + -2 = -4(-4y + 5) * 3y (-24 + 3y) + -2 = -4(-4y + 5) * 3y Reorder the terms: -24 + -2 + 3y = -4(-4y + 5) * 3y Combine like terms: -24 + -2 = -26 -26 + 3y = -4(-4y + 5) * 3y Reorder the terms: -26 + 3y = -4(5 + -4y) * 3y Reorder the terms for easier multiplication: -26 + 3y = -4 * 3y(5 + -4y) Multiply -4 * 3 -26 + 3y = -12y(5 + -4y) -26 + 3y = (5 * -12y + -4y * -12y) -26 + 3y = (-60y + 48y2) Solving -26 + 3y = -60y + 48y2 Solving for variable 'y'. Combine like terms: 3y + 60y = 63y -26 + 63y + -48y2 = -60y + 48y2 + 60y + -48y2 Reorder the terms: -26 + 63y + -48y2 = -60y + 60y + 48y2 + -48y2 Combine like terms: -60y + 60y = 0 -26 + 63y + -48y2 = 0 + 48y2 + -48y2 -26 + 63y + -48y2 = 48y2 + -48y2 Combine like terms: 48y2 + -48y2 = 0 -26 + 63y + -48y2 = 0 Begin completing the square. Divide all terms by -48 the coefficient of the squared term: Divide each side by '-48'. 0.5416666667 + -1.3125y + y2 = 0 Move the constant term to the right: Add '-0.5416666667' to each side of the equation. 0.5416666667 + -1.3125y + -0.5416666667 + y2 = 0 + -0.5416666667 Reorder the terms: 0.5416666667 + -0.5416666667 + -1.3125y + y2 = 0 + -0.5416666667 Combine like terms: 0.5416666667 + -0.5416666667 = 0.0000000000 0.0000000000 + -1.3125y + y2 = 0 + -0.5416666667 -1.3125y + y2 = 0 + -0.5416666667 Combine like terms: 0 + -0.5416666667 = -0.5416666667 -1.3125y + y2 = -0.5416666667 The y term is -1.3125y. Take half its coefficient (-0.65625). Square it (0.4306640625) and add it to both sides. Add '0.4306640625' to each side of the equation. -1.3125y + 0.4306640625 + y2 = -0.5416666667 + 0.4306640625 Reorder the terms: 0.4306640625 + -1.3125y + y2 = -0.5416666667 + 0.4306640625 Combine like terms: -0.5416666667 + 0.4306640625 = -0.1110026042 0.4306640625 + -1.3125y + y2 = -0.1110026042 Factor a perfect square on the left side: (y + -0.65625)(y + -0.65625) = -0.1110026042 Can't calculate square root of the right side. The solution to this equation could not be determined.
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