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Simplifying 2xy + 2xz + 2yz = 150 Solving 2xy + 2xz + 2yz = 150 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 = 150 + -2yz Combine like terms: 2yz + -2yz = 0 2xy + 2xz + 0 = 150 + -2yz 2xy + 2xz = 150 + -2yz Reorder the terms: -150 + 2xy + 2xz + 2yz = 150 + -2yz + -150 + 2yz Reorder the terms: -150 + 2xy + 2xz + 2yz = 150 + -150 + -2yz + 2yz Combine like terms: 150 + -150 = 0 -150 + 2xy + 2xz + 2yz = 0 + -2yz + 2yz -150 + 2xy + 2xz + 2yz = -2yz + 2yz Combine like terms: -2yz + 2yz = 0 -150 + 2xy + 2xz + 2yz = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-75 + xy + xz + yz) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-75 + xy + xz + yz)' equal to zero and attempt to solve: Simplifying -75 + xy + xz + yz = 0 Solving -75 + xy + xz + yz = 0 Move all terms containing x to the left, all other terms to the right. Add '75' to each side of the equation. -75 + xy + xz + 75 + yz = 0 + 75 Reorder the terms: -75 + 75 + xy + xz + yz = 0 + 75 Combine like terms: -75 + 75 = 0 0 + xy + xz + yz = 0 + 75 xy + xz + yz = 0 + 75 Combine like terms: 0 + 75 = 75 xy + xz + yz = 75 Add '-1yz' to each side of the equation. xy + xz + yz + -1yz = 75 + -1yz Combine like terms: yz + -1yz = 0 xy + xz + 0 = 75 + -1yz xy + xz = 75 + -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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