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Simplifying 0 = (6x + 2)(8 + 4y) Reorder the terms: 0 = (2 + 6x)(8 + 4y) Multiply (2 + 6x) * (8 + 4y) 0 = (2(8 + 4y) + 6x * (8 + 4y)) 0 = ((8 * 2 + 4y * 2) + 6x * (8 + 4y)) 0 = ((16 + 8y) + 6x * (8 + 4y)) 0 = (16 + 8y + (8 * 6x + 4y * 6x)) 0 = (16 + 8y + (48x + 24xy)) Reorder the terms: 0 = (16 + 48x + 24xy + 8y) 0 = (16 + 48x + 24xy + 8y) Solving 0 = 16 + 48x + 24xy + 8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 0 + -48x = 16 + 48x + 24xy + -48x + 8y Remove the zero: -48x = 16 + 48x + 24xy + -48x + 8y Reorder the terms: -48x = 16 + 48x + -48x + 24xy + 8y Combine like terms: 48x + -48x = 0 -48x = 16 + 0 + 24xy + 8y -48x = 16 + 24xy + 8y Add '-24xy' to each side of the equation. -48x + -24xy = 16 + 24xy + -24xy + 8y Combine like terms: 24xy + -24xy = 0 -48x + -24xy = 16 + 0 + 8y -48x + -24xy = 16 + 8y Reorder the terms: -16 + -48x + -24xy + -8y = 16 + 8y + -16 + -8y Reorder the terms: -16 + -48x + -24xy + -8y = 16 + -16 + 8y + -8y Combine like terms: 16 + -16 = 0 -16 + -48x + -24xy + -8y = 0 + 8y + -8y -16 + -48x + -24xy + -8y = 8y + -8y Combine like terms: 8y + -8y = 0 -16 + -48x + -24xy + -8y = 0 Factor out the Greatest Common Factor (GCF), '-8'. -8(2 + 6x + 3xy + y) = 0 Ignore the factor -8.Subproblem 1
Set the factor '(2 + 6x + 3xy + y)' equal to zero and attempt to solve: Simplifying 2 + 6x + 3xy + y = 0 Solving 2 + 6x + 3xy + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 6x + 3xy + -2 + y = 0 + -2 Reorder the terms: 2 + -2 + 6x + 3xy + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 6x + 3xy + y = 0 + -2 6x + 3xy + y = 0 + -2 Combine like terms: 0 + -2 = -2 6x + 3xy + y = -2 Add '-1y' to each side of the equation. 6x + 3xy + y + -1y = -2 + -1y Combine like terms: y + -1y = 0 6x + 3xy + 0 = -2 + -1y 6x + 3xy = -2 + -1y 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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