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Simplifying (3x + -8)(2y + -6) = 0 Reorder the terms: (-8 + 3x)(2y + -6) = 0 Reorder the terms: (-8 + 3x)(-6 + 2y) = 0 Multiply (-8 + 3x) * (-6 + 2y) (-8(-6 + 2y) + 3x * (-6 + 2y)) = 0 ((-6 * -8 + 2y * -8) + 3x * (-6 + 2y)) = 0 ((48 + -16y) + 3x * (-6 + 2y)) = 0 (48 + -16y + (-6 * 3x + 2y * 3x)) = 0 (48 + -16y + (-18x + 6xy)) = 0 Reorder the terms: (48 + -18x + 6xy + -16y) = 0 (48 + -18x + 6xy + -16y) = 0 Solving 48 + -18x + 6xy + -16y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -18x + 6xy + -48 + -16y = 0 + -48 Reorder the terms: 48 + -48 + -18x + 6xy + -16y = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -18x + 6xy + -16y = 0 + -48 -18x + 6xy + -16y = 0 + -48 Combine like terms: 0 + -48 = -48 -18x + 6xy + -16y = -48 Add '16y' to each side of the equation. -18x + 6xy + -16y + 16y = -48 + 16y Combine like terms: -16y + 16y = 0 -18x + 6xy + 0 = -48 + 16y -18x + 6xy = -48 + 16y Reorder the terms: 48 + -18x + 6xy + -16y = -48 + 16y + 48 + -16y Reorder the terms: 48 + -18x + 6xy + -16y = -48 + 48 + 16y + -16y Combine like terms: -48 + 48 = 0 48 + -18x + 6xy + -16y = 0 + 16y + -16y 48 + -18x + 6xy + -16y = 16y + -16y Combine like terms: 16y + -16y = 0 48 + -18x + 6xy + -16y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(24 + -9x + 3xy + -8y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(24 + -9x + 3xy + -8y)' equal to zero and attempt to solve: Simplifying 24 + -9x + 3xy + -8y = 0 Solving 24 + -9x + 3xy + -8y = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -9x + 3xy + -24 + -8y = 0 + -24 Reorder the terms: 24 + -24 + -9x + 3xy + -8y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -9x + 3xy + -8y = 0 + -24 -9x + 3xy + -8y = 0 + -24 Combine like terms: 0 + -24 = -24 -9x + 3xy + -8y = -24 Add '8y' to each side of the equation. -9x + 3xy + -8y + 8y = -24 + 8y Combine like terms: -8y + 8y = 0 -9x + 3xy + 0 = -24 + 8y -9x + 3xy = -24 + 8y 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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