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Simplifying 28xy2 + 30yz = 2xyz(14yz3 + 15) Reorder the terms: 28xy2 + 30yz = 2xyz(15 + 14yz3) 28xy2 + 30yz = (15 * 2xyz + 14yz3 * 2xyz) 28xy2 + 30yz = (30xyz + 28xy2z4) Solving 28xy2 + 30yz = 30xyz + 28xy2z4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30xyz' to each side of the equation. 28xy2 + -30xyz + 30yz = 30xyz + -30xyz + 28xy2z4 Reorder the terms: -30xyz + 28xy2 + 30yz = 30xyz + -30xyz + 28xy2z4 Combine like terms: 30xyz + -30xyz = 0 -30xyz + 28xy2 + 30yz = 0 + 28xy2z4 -30xyz + 28xy2 + 30yz = 28xy2z4 Add '-28xy2z4' to each side of the equation. -30xyz + 28xy2 + -28xy2z4 + 30yz = 28xy2z4 + -28xy2z4 Combine like terms: 28xy2z4 + -28xy2z4 = 0 -30xyz + 28xy2 + -28xy2z4 + 30yz = 0 Add '-30yz' to each side of the equation. -30xyz + 28xy2 + -28xy2z4 + 30yz + -30yz = 0 + -30yz Combine like terms: 30yz + -30yz = 0 -30xyz + 28xy2 + -28xy2z4 + 0 = 0 + -30yz -30xyz + 28xy2 + -28xy2z4 = 0 + -30yz Remove the zero: -30xyz + 28xy2 + -28xy2z4 = -30yz Combine like terms: -30yz + 30yz = 0 -30xyz + 28xy2 + -28xy2z4 + 30yz = 0 Factor out the Greatest Common Factor (GCF), '2y'. 2y(-15xz + 14xy + -14xyz4 + 15z) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y 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 '(-15xz + 14xy + -14xyz4 + 15z)' equal to zero and attempt to solve: Simplifying -15xz + 14xy + -14xyz4 + 15z = 0 Reorder the terms: 14xy + -14xyz4 + -15xz + 15z = 0 Solving 14xy + -14xyz4 + -15xz + 15z = 0 Move all terms containing x to the left, all other terms to the right. Add '-15z' to each side of the equation. 14xy + -14xyz4 + -15xz + 15z + -15z = 0 + -15z Combine like terms: 15z + -15z = 0 14xy + -14xyz4 + -15xz + 0 = 0 + -15z 14xy + -14xyz4 + -15xz = 0 + -15z Remove the zero: 14xy + -14xyz4 + -15xz = -15z 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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