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Simplifying 5xy2z + -25xyhj + -25xyzj + 5xy2h = 0 Reorder the terms: -25hjxy + 5hxy2 + -25jxyz + 5xy2z = 0 Solving -25hjxy + 5hxy2 + -25jxyz + 5xy2z = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '25jxyz' to each side of the equation. -25hjxy + 5hxy2 + -25jxyz + 25jxyz + 5xy2z = 0 + 25jxyz Combine like terms: -25jxyz + 25jxyz = 0 -25hjxy + 5hxy2 + 0 + 5xy2z = 0 + 25jxyz -25hjxy + 5hxy2 + 5xy2z = 0 + 25jxyz Remove the zero: -25hjxy + 5hxy2 + 5xy2z = 25jxyz Add '-5xy2z' to each side of the equation. -25hjxy + 5hxy2 + 5xy2z + -5xy2z = 25jxyz + -5xy2z Combine like terms: 5xy2z + -5xy2z = 0 -25hjxy + 5hxy2 + 0 = 25jxyz + -5xy2z -25hjxy + 5hxy2 = 25jxyz + -5xy2z Reorder the terms: -25hjxy + 5hxy2 + -25jxyz + 5xy2z = 25jxyz + -25jxyz + -5xy2z + 5xy2z Combine like terms: 25jxyz + -25jxyz = 0 -25hjxy + 5hxy2 + -25jxyz + 5xy2z = 0 + -5xy2z + 5xy2z -25hjxy + 5hxy2 + -25jxyz + 5xy2z = -5xy2z + 5xy2z Combine like terms: -5xy2z + 5xy2z = 0 -25hjxy + 5hxy2 + -25jxyz + 5xy2z = 0 Factor out the Greatest Common Factor (GCF), '5xy'. 5xy(-5hj + hy + -5jz + yz) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing h to the left, all other terms to the right. Add '-1xy' to each side of the equation. xy + -1xy = 0 + -1xy Remove the zero: 0 = -1xy Simplifying 0 = -1xy The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-5hj + hy + -5jz + yz)' equal to zero and attempt to solve: Simplifying -5hj + hy + -5jz + yz = 0 Solving -5hj + hy + -5jz + yz = 0 Move all terms containing h to the left, all other terms to the right. Add '5jz' to each side of the equation. -5hj + hy + -5jz + 5jz + yz = 0 + 5jz Combine like terms: -5jz + 5jz = 0 -5hj + hy + 0 + yz = 0 + 5jz -5hj + hy + yz = 0 + 5jz Remove the zero: -5hj + hy + yz = 5jz Add '-1yz' to each side of the equation. -5hj + hy + yz + -1yz = 5jz + -1yz Combine like terms: yz + -1yz = 0 -5hj + hy + 0 = 5jz + -1yz -5hj + hy = 5jz + -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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