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Simplifying (3x + -2)(2y + 5) = 0 Reorder the terms: (-2 + 3x)(2y + 5) = 0 Reorder the terms: (-2 + 3x)(5 + 2y) = 0 Multiply (-2 + 3x) * (5 + 2y) (-2(5 + 2y) + 3x * (5 + 2y)) = 0 ((5 * -2 + 2y * -2) + 3x * (5 + 2y)) = 0 ((-10 + -4y) + 3x * (5 + 2y)) = 0 (-10 + -4y + (5 * 3x + 2y * 3x)) = 0 (-10 + -4y + (15x + 6xy)) = 0 Reorder the terms: (-10 + 15x + 6xy + -4y) = 0 (-10 + 15x + 6xy + -4y) = 0 Solving -10 + 15x + 6xy + -4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 15x + 6xy + 10 + -4y = 0 + 10 Reorder the terms: -10 + 10 + 15x + 6xy + -4y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 15x + 6xy + -4y = 0 + 10 15x + 6xy + -4y = 0 + 10 Combine like terms: 0 + 10 = 10 15x + 6xy + -4y = 10 Add '4y' to each side of the equation. 15x + 6xy + -4y + 4y = 10 + 4y Combine like terms: -4y + 4y = 0 15x + 6xy + 0 = 10 + 4y 15x + 6xy = 10 + 4y Reorder the terms: -10 + 15x + 6xy + -4y = 10 + 4y + -10 + -4y Reorder the terms: -10 + 15x + 6xy + -4y = 10 + -10 + 4y + -4y Combine like terms: 10 + -10 = 0 -10 + 15x + 6xy + -4y = 0 + 4y + -4y -10 + 15x + 6xy + -4y = 4y + -4y Combine like terms: 4y + -4y = 0 -10 + 15x + 6xy + -4y = 0 The solution to this equation could not be determined.
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