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