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Simplifying (2x + -3)(4y + 1) = 0 Reorder the terms: (-3 + 2x)(4y + 1) = 0 Reorder the terms: (-3 + 2x)(1 + 4y) = 0 Multiply (-3 + 2x) * (1 + 4y) (-3(1 + 4y) + 2x * (1 + 4y)) = 0 ((1 * -3 + 4y * -3) + 2x * (1 + 4y)) = 0 ((-3 + -12y) + 2x * (1 + 4y)) = 0 (-3 + -12y + (1 * 2x + 4y * 2x)) = 0 (-3 + -12y + (2x + 8xy)) = 0 Reorder the terms: (-3 + 2x + 8xy + -12y) = 0 (-3 + 2x + 8xy + -12y) = 0 Solving -3 + 2x + 8xy + -12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 2x + 8xy + 3 + -12y = 0 + 3 Reorder the terms: -3 + 3 + 2x + 8xy + -12y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2x + 8xy + -12y = 0 + 3 2x + 8xy + -12y = 0 + 3 Combine like terms: 0 + 3 = 3 2x + 8xy + -12y = 3 Add '12y' to each side of the equation. 2x + 8xy + -12y + 12y = 3 + 12y Combine like terms: -12y + 12y = 0 2x + 8xy + 0 = 3 + 12y 2x + 8xy = 3 + 12y Reorder the terms: -3 + 2x + 8xy + -12y = 3 + 12y + -3 + -12y Reorder the terms: -3 + 2x + 8xy + -12y = 3 + -3 + 12y + -12y Combine like terms: 3 + -3 = 0 -3 + 2x + 8xy + -12y = 0 + 12y + -12y -3 + 2x + 8xy + -12y = 12y + -12y Combine like terms: 12y + -12y = 0 -3 + 2x + 8xy + -12y = 0 The solution to this equation could not be determined.
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