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Simplifying 8x2yz + 16xy2z2 + -24xyz2 = 0 Reorder the terms: -24xyz2 + 16xy2z2 + 8x2yz = 0 Solving -24xyz2 + 16xy2z2 + 8x2yz = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8xyz'. 8xyz(-3z + 2yz + x) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'xyz' equal to zero and attempt to solve: Simplifying xyz = 0 Solving xyz = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xyz = 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 '(-3z + 2yz + x)' equal to zero and attempt to solve: Simplifying -3z + 2yz + x = 0 Reorder the terms: x + 2yz + -3z = 0 Solving x + 2yz + -3z = 0 Move all terms containing x to the left, all other terms to the right. Add '-2yz' to each side of the equation. x + 2yz + -2yz + -3z = 0 + -2yz Combine like terms: 2yz + -2yz = 0 x + 0 + -3z = 0 + -2yz x + -3z = 0 + -2yz Remove the zero: x + -3z = -2yz Add '3z' to each side of the equation. x + -3z + 3z = -2yz + 3z Combine like terms: -3z + 3z = 0 x + 0 = -2yz + 3z x = -2yz + 3z Simplifying x = -2yz + 3zSolution
x = {-2yz + 3z}
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