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Simplifying 28xy2z4 + 30yz = 2xyz Solving 28xy2z4 + 30yz = 2xyz Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2xyz' to each side of the equation. 28xy2z4 + -2xyz + 30yz = 2xyz + -2xyz Reorder the terms: -2xyz + 28xy2z4 + 30yz = 2xyz + -2xyz Combine like terms: 2xyz + -2xyz = 0 -2xyz + 28xy2z4 + 30yz = 0 Add '-30yz' to each side of the equation. -2xyz + 28xy2z4 + 30yz + -30yz = 0 + -30yz Combine like terms: 30yz + -30yz = 0 -2xyz + 28xy2z4 + 0 = 0 + -30yz -2xyz + 28xy2z4 = 0 + -30yz Remove the zero: -2xyz + 28xy2z4 = -30yz Combine like terms: -30yz + 30yz = 0 -2xyz + 28xy2z4 + 30yz = 0 Factor out the Greatest Common Factor (GCF), '2yz'. 2yz(-1x + 14xyz3 + 15) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'yz' equal to zero and attempt to solve: Simplifying yz = 0 Solving yz = 0 Move all terms containing x to the left, all other terms to the right. Add '-1yz' to each side of the equation. yz + -1yz = 0 + -1yz Remove the zero: 0 = -1yz Simplifying 0 = -1yz 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 '(-1x + 14xyz3 + 15)' equal to zero and attempt to solve: Simplifying -1x + 14xyz3 + 15 = 0 Reorder the terms: 15 + -1x + 14xyz3 = 0 Solving 15 + -1x + 14xyz3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -1x + -15 + 14xyz3 = 0 + -15 Reorder the terms: 15 + -15 + -1x + 14xyz3 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x + 14xyz3 = 0 + -15 -1x + 14xyz3 = 0 + -15 Combine like terms: 0 + -15 = -15 -1x + 14xyz3 = -15 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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