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Simplifying (6x + -4)(y + 3) = 0 Reorder the terms: (-4 + 6x)(y + 3) = 0 Reorder the terms: (-4 + 6x)(3 + y) = 0 Multiply (-4 + 6x) * (3 + y) (-4(3 + y) + 6x * (3 + y)) = 0 ((3 * -4 + y * -4) + 6x * (3 + y)) = 0 ((-12 + -4y) + 6x * (3 + y)) = 0 (-12 + -4y + (3 * 6x + y * 6x)) = 0 (-12 + -4y + (18x + 6xy)) = 0 Reorder the terms: (-12 + 18x + 6xy + -4y) = 0 (-12 + 18x + 6xy + -4y) = 0 Solving -12 + 18x + 6xy + -4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 18x + 6xy + 12 + -4y = 0 + 12 Reorder the terms: -12 + 12 + 18x + 6xy + -4y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 18x + 6xy + -4y = 0 + 12 18x + 6xy + -4y = 0 + 12 Combine like terms: 0 + 12 = 12 18x + 6xy + -4y = 12 Add '4y' to each side of the equation. 18x + 6xy + -4y + 4y = 12 + 4y Combine like terms: -4y + 4y = 0 18x + 6xy + 0 = 12 + 4y 18x + 6xy = 12 + 4y Reorder the terms: -12 + 18x + 6xy + -4y = 12 + 4y + -12 + -4y Reorder the terms: -12 + 18x + 6xy + -4y = 12 + -12 + 4y + -4y Combine like terms: 12 + -12 = 0 -12 + 18x + 6xy + -4y = 0 + 4y + -4y -12 + 18x + 6xy + -4y = 4y + -4y Combine like terms: 4y + -4y = 0 -12 + 18x + 6xy + -4y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + 9x + 3xy + -2y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + 9x + 3xy + -2y)' equal to zero and attempt to solve: Simplifying -6 + 9x + 3xy + -2y = 0 Solving -6 + 9x + 3xy + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 9x + 3xy + 6 + -2y = 0 + 6 Reorder the terms: -6 + 6 + 9x + 3xy + -2y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 9x + 3xy + -2y = 0 + 6 9x + 3xy + -2y = 0 + 6 Combine like terms: 0 + 6 = 6 9x + 3xy + -2y = 6 Add '2y' to each side of the equation. 9x + 3xy + -2y + 2y = 6 + 2y Combine like terms: -2y + 2y = 0 9x + 3xy + 0 = 6 + 2y 9x + 3xy = 6 + 2y 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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