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Simplifying (2x + 3)(3y + -8) = 0 Reorder the terms: (3 + 2x)(3y + -8) = 0 Reorder the terms: (3 + 2x)(-8 + 3y) = 0 Multiply (3 + 2x) * (-8 + 3y) (3(-8 + 3y) + 2x * (-8 + 3y)) = 0 ((-8 * 3 + 3y * 3) + 2x * (-8 + 3y)) = 0 ((-24 + 9y) + 2x * (-8 + 3y)) = 0 (-24 + 9y + (-8 * 2x + 3y * 2x)) = 0 (-24 + 9y + (-16x + 6xy)) = 0 Reorder the terms: (-24 + -16x + 6xy + 9y) = 0 (-24 + -16x + 6xy + 9y) = 0 Solving -24 + -16x + 6xy + 9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + -16x + 6xy + 24 + 9y = 0 + 24 Reorder the terms: -24 + 24 + -16x + 6xy + 9y = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -16x + 6xy + 9y = 0 + 24 -16x + 6xy + 9y = 0 + 24 Combine like terms: 0 + 24 = 24 -16x + 6xy + 9y = 24 Add '-9y' to each side of the equation. -16x + 6xy + 9y + -9y = 24 + -9y Combine like terms: 9y + -9y = 0 -16x + 6xy + 0 = 24 + -9y -16x + 6xy = 24 + -9y Reorder the terms: -24 + -16x + 6xy + 9y = 24 + -9y + -24 + 9y Reorder the terms: -24 + -16x + 6xy + 9y = 24 + -24 + -9y + 9y Combine like terms: 24 + -24 = 0 -24 + -16x + 6xy + 9y = 0 + -9y + 9y -24 + -16x + 6xy + 9y = -9y + 9y Combine like terms: -9y + 9y = 0 -24 + -16x + 6xy + 9y = 0 The solution to this equation could not be determined.
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