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Simplifying 2xy(z + 1) = 30 Reorder the terms: 2xy(1 + z) = 30 (1 * 2xy + z * 2xy) = 30 (2xy + 2xyz) = 30 Solving 2xy + 2xyz = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Reorder the terms: -30 + 2xy + 2xyz = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + 2xy + 2xyz = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-15 + xy + xyz) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-15 + xy + xyz)' equal to zero and attempt to solve: Simplifying -15 + xy + xyz = 0 Solving -15 + xy + xyz = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + xy + 15 + xyz = 0 + 15 Reorder the terms: -15 + 15 + xy + xyz = 0 + 15 Combine like terms: -15 + 15 = 0 0 + xy + xyz = 0 + 15 xy + xyz = 0 + 15 Combine like terms: 0 + 15 = 15 xy + xyz = 15 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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