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Simplifying (2x + 1)(3y + -4) = 0 Reorder the terms: (1 + 2x)(3y + -4) = 0 Reorder the terms: (1 + 2x)(-4 + 3y) = 0 Multiply (1 + 2x) * (-4 + 3y) (1(-4 + 3y) + 2x * (-4 + 3y)) = 0 ((-4 * 1 + 3y * 1) + 2x * (-4 + 3y)) = 0 ((-4 + 3y) + 2x * (-4 + 3y)) = 0 (-4 + 3y + (-4 * 2x + 3y * 2x)) = 0 (-4 + 3y + (-8x + 6xy)) = 0 Reorder the terms: (-4 + -8x + 6xy + 3y) = 0 (-4 + -8x + 6xy + 3y) = 0 Solving -4 + -8x + 6xy + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -8x + 6xy + 4 + 3y = 0 + 4 Reorder the terms: -4 + 4 + -8x + 6xy + 3y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -8x + 6xy + 3y = 0 + 4 -8x + 6xy + 3y = 0 + 4 Combine like terms: 0 + 4 = 4 -8x + 6xy + 3y = 4 Add '-3y' to each side of the equation. -8x + 6xy + 3y + -3y = 4 + -3y Combine like terms: 3y + -3y = 0 -8x + 6xy + 0 = 4 + -3y -8x + 6xy = 4 + -3y Reorder the terms: -4 + -8x + 6xy + 3y = 4 + -3y + -4 + 3y Reorder the terms: -4 + -8x + 6xy + 3y = 4 + -4 + -3y + 3y Combine like terms: 4 + -4 = 0 -4 + -8x + 6xy + 3y = 0 + -3y + 3y -4 + -8x + 6xy + 3y = -3y + 3y Combine like terms: -3y + 3y = 0 -4 + -8x + 6xy + 3y = 0 The solution to this equation could not be determined.
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