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Simplifying 28xy2z4 + 30yz = 2xyz(14yz3 + 15) Reorder the terms: 28xy2z4 + 30yz = 2xyz(15 + 14yz3) 28xy2z4 + 30yz = (15 * 2xyz + 14yz3 * 2xyz) 28xy2z4 + 30yz = (30xyz + 28xy2z4) Add '-28xy2z4' to each side of the equation. 28xy2z4 + -28xy2z4 + 30yz = 30xyz + 28xy2z4 + -28xy2z4 Combine like terms: 28xy2z4 + -28xy2z4 = 0 0 + 30yz = 30xyz + 28xy2z4 + -28xy2z4 30yz = 30xyz + 28xy2z4 + -28xy2z4 Combine like terms: 28xy2z4 + -28xy2z4 = 0 30yz = 30xyz + 0 30yz = 30xyz Solving 30yz = 30xyz Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30xyz' to each side of the equation. -30xyz + 30yz = 30xyz + -30xyz Combine like terms: 30xyz + -30xyz = 0 -30xyz + 30yz = 0 Factor out the Greatest Common Factor (GCF), '30yz'. 30yz(-1x + 1) = 0 Ignore the factor 30.Subproblem 1
Set the factor 'yz' equal to zero and attempt to solve: Simplifying yz = 0 Solving yz = 0 Move all terms containing y to the left, all other terms to the right. Simplifying yz = 0 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 + 1)' equal to zero and attempt to solve: Simplifying -1x + 1 = 0 Reorder the terms: 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Add 'x' to each side of the equation. -1x + x = -1 + x Combine like terms: -1x + x = 0 0 = -1 + x Simplifying 0 = -1 + x 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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