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Simplifying 224az + 56ac + -84yz + -21yc = 0 Reorder the terms: 56ac + 224az + -21cy + -84yz = 0 Solving 56ac + 224az + -21cy + -84yz = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21cy' to each side of the equation. 56ac + 224az + -21cy + 21cy + -84yz = 0 + 21cy Combine like terms: -21cy + 21cy = 0 56ac + 224az + 0 + -84yz = 0 + 21cy 56ac + 224az + -84yz = 0 + 21cy Remove the zero: 56ac + 224az + -84yz = 21cy Add '84yz' to each side of the equation. 56ac + 224az + -84yz + 84yz = 21cy + 84yz Combine like terms: -84yz + 84yz = 0 56ac + 224az + 0 = 21cy + 84yz 56ac + 224az = 21cy + 84yz Reorder the terms: 56ac + 224az + -21cy + -84yz = 21cy + -21cy + 84yz + -84yz Combine like terms: 21cy + -21cy = 0 56ac + 224az + -21cy + -84yz = 0 + 84yz + -84yz 56ac + 224az + -21cy + -84yz = 84yz + -84yz Combine like terms: 84yz + -84yz = 0 56ac + 224az + -21cy + -84yz = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(8ac + 32az + -3cy + -12yz) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(8ac + 32az + -3cy + -12yz)' equal to zero and attempt to solve: Simplifying 8ac + 32az + -3cy + -12yz = 0 Solving 8ac + 32az + -3cy + -12yz = 0 Move all terms containing a to the left, all other terms to the right. Add '3cy' to each side of the equation. 8ac + 32az + -3cy + 3cy + -12yz = 0 + 3cy Combine like terms: -3cy + 3cy = 0 8ac + 32az + 0 + -12yz = 0 + 3cy 8ac + 32az + -12yz = 0 + 3cy Remove the zero: 8ac + 32az + -12yz = 3cy Add '12yz' to each side of the equation. 8ac + 32az + -12yz + 12yz = 3cy + 12yz Combine like terms: -12yz + 12yz = 0 8ac + 32az + 0 = 3cy + 12yz 8ac + 32az = 3cy + 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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