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