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Simplifying -2xyz(xy + 3yz) = 0 (xy * -2xyz + 3yz * -2xyz) = 0 Reorder the terms: (-6xy2z2 + -2x2y2z) = 0 (-6xy2z2 + -2x2y2z) = 0 Solving -6xy2z2 + -2x2y2z = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-2xy2z'. -2xy2z(3z + x) = 0 Ignore the factor -2.Subproblem 1
Set the factor 'xy2z' equal to zero and attempt to solve: Simplifying xy2z = 0 Solving xy2z = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy2z = 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 + x)' equal to zero and attempt to solve: Simplifying 3z + x = 0 Reorder the terms: x + 3z = 0 Solving x + 3z = 0 Move all terms containing x to the left, all other terms to the right. Add '-3z' to each side of the equation. x + 3z + -3z = 0 + -3z Combine like terms: 3z + -3z = 0 x + 0 = 0 + -3z x = 0 + -3z Remove the zero: x = -3z Simplifying x = -3zSolution
x = {-3z}
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