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