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Simplifying (3y + 2)(y + -1a) = 0 Reorder the terms: (2 + 3y)(y + -1a) = 0 Reorder the terms: (2 + 3y)(-1a + y) = 0 Multiply (2 + 3y) * (-1a + y) (2(-1a + y) + 3y * (-1a + y)) = 0 ((-1a * 2 + y * 2) + 3y * (-1a + y)) = 0 ((-2a + 2y) + 3y * (-1a + y)) = 0 (-2a + 2y + (-1a * 3y + y * 3y)) = 0 (-2a + 2y + (-3ay + 3y2)) = 0 Reorder the terms: (-2a + -3ay + 2y + 3y2) = 0 (-2a + -3ay + 2y + 3y2) = 0 Solving -2a + -3ay + 2y + 3y2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2y' to each side of the equation. -2a + -3ay + 2y + -2y + 3y2 = 0 + -2y Combine like terms: 2y + -2y = 0 -2a + -3ay + 0 + 3y2 = 0 + -2y -2a + -3ay + 3y2 = 0 + -2y Remove the zero: -2a + -3ay + 3y2 = -2y Add '-3y2' to each side of the equation. -2a + -3ay + 3y2 + -3y2 = -2y + -3y2 Combine like terms: 3y2 + -3y2 = 0 -2a + -3ay + 0 = -2y + -3y2 -2a + -3ay = -2y + -3y2 Reorder the terms: -2a + -3ay + 2y + 3y2 = -2y + 2y + -3y2 + 3y2 Combine like terms: -2y + 2y = 0 -2a + -3ay + 2y + 3y2 = 0 + -3y2 + 3y2 -2a + -3ay + 2y + 3y2 = -3y2 + 3y2 Combine like terms: -3y2 + 3y2 = 0 -2a + -3ay + 2y + 3y2 = 0 The solution to this equation could not be determined.
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