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Simplifying 2xy + 2xz + 2yz = 5400 Solving 2xy + 2xz + 2yz = 5400 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. 2xy + 2xz + 2yz + -2yz = 5400 + -2yz Combine like terms: 2yz + -2yz = 0 2xy + 2xz + 0 = 5400 + -2yz 2xy + 2xz = 5400 + -2yz Reorder the terms: -5400 + 2xy + 2xz + 2yz = 5400 + -2yz + -5400 + 2yz Reorder the terms: -5400 + 2xy + 2xz + 2yz = 5400 + -5400 + -2yz + 2yz Combine like terms: 5400 + -5400 = 0 -5400 + 2xy + 2xz + 2yz = 0 + -2yz + 2yz -5400 + 2xy + 2xz + 2yz = -2yz + 2yz Combine like terms: -2yz + 2yz = 0 -5400 + 2xy + 2xz + 2yz = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2700 + xy + xz + yz) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2700 + xy + xz + yz)' equal to zero and attempt to solve: Simplifying -2700 + xy + xz + yz = 0 Solving -2700 + xy + xz + yz = 0 Move all terms containing x to the left, all other terms to the right. Add '2700' to each side of the equation. -2700 + xy + xz + 2700 + yz = 0 + 2700 Reorder the terms: -2700 + 2700 + xy + xz + yz = 0 + 2700 Combine like terms: -2700 + 2700 = 0 0 + xy + xz + yz = 0 + 2700 xy + xz + yz = 0 + 2700 Combine like terms: 0 + 2700 = 2700 xy + xz + yz = 2700 Add '-1yz' to each side of the equation. xy + xz + yz + -1yz = 2700 + -1yz Combine like terms: yz + -1yz = 0 xy + xz + 0 = 2700 + -1yz xy + xz = 2700 + -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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