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Simplifying 3y2 + (6 + 4a) * y + 8a = 0 Reorder the terms for easier multiplication: 3y2 + y(6 + 4a) + 8a = 0 3y2 + (6 * y + 4a * y) + 8a = 0 Reorder the terms: 3y2 + (4ay + 6y) + 8a = 0 3y2 + (4ay + 6y) + 8a = 0 Reorder the terms: 8a + 4ay + 6y + 3y2 = 0 Solving 8a + 4ay + 6y + 3y2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6y' to each side of the equation. 8a + 4ay + 6y + -6y + 3y2 = 0 + -6y Combine like terms: 6y + -6y = 0 8a + 4ay + 0 + 3y2 = 0 + -6y 8a + 4ay + 3y2 = 0 + -6y Remove the zero: 8a + 4ay + 3y2 = -6y Add '-3y2' to each side of the equation. 8a + 4ay + 3y2 + -3y2 = -6y + -3y2 Combine like terms: 3y2 + -3y2 = 0 8a + 4ay + 0 = -6y + -3y2 8a + 4ay = -6y + -3y2 Reorder the terms: 8a + 4ay + 6y + 3y2 = -6y + 6y + -3y2 + 3y2 Combine like terms: -6y + 6y = 0 8a + 4ay + 6y + 3y2 = 0 + -3y2 + 3y2 8a + 4ay + 6y + 3y2 = -3y2 + 3y2 Combine like terms: -3y2 + 3y2 = 0 8a + 4ay + 6y + 3y2 = 0 The solution to this equation could not be determined.
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