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Simplifying 10xy + 20xz + 24yz = 0 Solving 10xy + 20xz + 24yz = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24yz' to each side of the equation. 10xy + 20xz + 24yz + -24yz = 0 + -24yz Combine like terms: 24yz + -24yz = 0 10xy + 20xz + 0 = 0 + -24yz 10xy + 20xz = 0 + -24yz Remove the zero: 10xy + 20xz = -24yz Combine like terms: -24yz + 24yz = 0 10xy + 20xz + 24yz = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5xy + 10xz + 12yz) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5xy + 10xz + 12yz)' equal to zero and attempt to solve: Simplifying 5xy + 10xz + 12yz = 0 Solving 5xy + 10xz + 12yz = 0 Move all terms containing x to the left, all other terms to the right. Add '-12yz' to each side of the equation. 5xy + 10xz + 12yz + -12yz = 0 + -12yz Combine like terms: 12yz + -12yz = 0 5xy + 10xz + 0 = 0 + -12yz 5xy + 10xz = 0 + -12yz Remove the zero: 5xy + 10xz = -12yz 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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