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Simplifying (5x + 3)(3y + -2) = 0 Reorder the terms: (3 + 5x)(3y + -2) = 0 Reorder the terms: (3 + 5x)(-2 + 3y) = 0 Multiply (3 + 5x) * (-2 + 3y) (3(-2 + 3y) + 5x * (-2 + 3y)) = 0 ((-2 * 3 + 3y * 3) + 5x * (-2 + 3y)) = 0 ((-6 + 9y) + 5x * (-2 + 3y)) = 0 (-6 + 9y + (-2 * 5x + 3y * 5x)) = 0 (-6 + 9y + (-10x + 15xy)) = 0 Reorder the terms: (-6 + -10x + 15xy + 9y) = 0 (-6 + -10x + 15xy + 9y) = 0 Solving -6 + -10x + 15xy + 9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -10x + 15xy + 6 + 9y = 0 + 6 Reorder the terms: -6 + 6 + -10x + 15xy + 9y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -10x + 15xy + 9y = 0 + 6 -10x + 15xy + 9y = 0 + 6 Combine like terms: 0 + 6 = 6 -10x + 15xy + 9y = 6 Add '-9y' to each side of the equation. -10x + 15xy + 9y + -9y = 6 + -9y Combine like terms: 9y + -9y = 0 -10x + 15xy + 0 = 6 + -9y -10x + 15xy = 6 + -9y Reorder the terms: -6 + -10x + 15xy + 9y = 6 + -9y + -6 + 9y Reorder the terms: -6 + -10x + 15xy + 9y = 6 + -6 + -9y + 9y Combine like terms: 6 + -6 = 0 -6 + -10x + 15xy + 9y = 0 + -9y + 9y -6 + -10x + 15xy + 9y = -9y + 9y Combine like terms: -9y + 9y = 0 -6 + -10x + 15xy + 9y = 0 The solution to this equation could not be determined.
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