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Simplifying (2x + -3)(4y + 6) = 0 Reorder the terms: (-3 + 2x)(4y + 6) = 0 Reorder the terms: (-3 + 2x)(6 + 4y) = 0 Multiply (-3 + 2x) * (6 + 4y) (-3(6 + 4y) + 2x * (6 + 4y)) = 0 ((6 * -3 + 4y * -3) + 2x * (6 + 4y)) = 0 ((-18 + -12y) + 2x * (6 + 4y)) = 0 (-18 + -12y + (6 * 2x + 4y * 2x)) = 0 (-18 + -12y + (12x + 8xy)) = 0 Reorder the terms: (-18 + 12x + 8xy + -12y) = 0 (-18 + 12x + 8xy + -12y) = 0 Solving -18 + 12x + 8xy + -12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 12x + 8xy + 18 + -12y = 0 + 18 Reorder the terms: -18 + 18 + 12x + 8xy + -12y = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 12x + 8xy + -12y = 0 + 18 12x + 8xy + -12y = 0 + 18 Combine like terms: 0 + 18 = 18 12x + 8xy + -12y = 18 Add '12y' to each side of the equation. 12x + 8xy + -12y + 12y = 18 + 12y Combine like terms: -12y + 12y = 0 12x + 8xy + 0 = 18 + 12y 12x + 8xy = 18 + 12y Reorder the terms: -18 + 12x + 8xy + -12y = 18 + 12y + -18 + -12y Reorder the terms: -18 + 12x + 8xy + -12y = 18 + -18 + 12y + -12y Combine like terms: 18 + -18 = 0 -18 + 12x + 8xy + -12y = 0 + 12y + -12y -18 + 12x + 8xy + -12y = 12y + -12y Combine like terms: 12y + -12y = 0 -18 + 12x + 8xy + -12y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-9 + 6x + 4xy + -6y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + 6x + 4xy + -6y)' equal to zero and attempt to solve: Simplifying -9 + 6x + 4xy + -6y = 0 Solving -9 + 6x + 4xy + -6y = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 6x + 4xy + 9 + -6y = 0 + 9 Reorder the terms: -9 + 9 + 6x + 4xy + -6y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 6x + 4xy + -6y = 0 + 9 6x + 4xy + -6y = 0 + 9 Combine like terms: 0 + 9 = 9 6x + 4xy + -6y = 9 Add '6y' to each side of the equation. 6x + 4xy + -6y + 6y = 9 + 6y Combine like terms: -6y + 6y = 0 6x + 4xy + 0 = 9 + 6y 6x + 4xy = 9 + 6y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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