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Simplifying (ay + 8)(3y + -4) = 0 Reorder the terms: (8 + ay)(3y + -4) = 0 Reorder the terms: (8 + ay)(-4 + 3y) = 0 Multiply (8 + ay) * (-4 + 3y) (8(-4 + 3y) + ay(-4 + 3y)) = 0 ((-4 * 8 + 3y * 8) + ay(-4 + 3y)) = 0 ((-32 + 24y) + ay(-4 + 3y)) = 0 (-32 + 24y + (-4 * ay + 3y * ay)) = 0 (-32 + 24y + (-4ay + 3ay2)) = 0 Reorder the terms: (-32 + -4ay + 3ay2 + 24y) = 0 (-32 + -4ay + 3ay2 + 24y) = 0 Solving -32 + -4ay + 3ay2 + 24y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '32' to each side of the equation. -32 + -4ay + 3ay2 + 32 + 24y = 0 + 32 Reorder the terms: -32 + 32 + -4ay + 3ay2 + 24y = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -4ay + 3ay2 + 24y = 0 + 32 -4ay + 3ay2 + 24y = 0 + 32 Combine like terms: 0 + 32 = 32 -4ay + 3ay2 + 24y = 32 Add '-24y' to each side of the equation. -4ay + 3ay2 + 24y + -24y = 32 + -24y Combine like terms: 24y + -24y = 0 -4ay + 3ay2 + 0 = 32 + -24y -4ay + 3ay2 = 32 + -24y Reorder the terms: -32 + -4ay + 3ay2 + 24y = 32 + -24y + -32 + 24y Reorder the terms: -32 + -4ay + 3ay2 + 24y = 32 + -32 + -24y + 24y Combine like terms: 32 + -32 = 0 -32 + -4ay + 3ay2 + 24y = 0 + -24y + 24y -32 + -4ay + 3ay2 + 24y = -24y + 24y Combine like terms: -24y + 24y = 0 -32 + -4ay + 3ay2 + 24y = 0 The solution to this equation could not be determined.
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