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Simplifying 420xy2z3 + -210x2yz + -630xyz2 = 0 Reorder the terms: -630xyz2 + 420xy2z3 + -210x2yz = 0 Solving -630xyz2 + 420xy2z3 + -210x2yz = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '210xyz'. 210xyz(-3z + 2yz2 + -1x) = 0 Ignore the factor 210.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 + 2yz2 + -1x)' equal to zero and attempt to solve: Simplifying -3z + 2yz2 + -1x = 0 Reorder the terms: -1x + 2yz2 + -3z = 0 Solving -1x + 2yz2 + -3z = 0 Move all terms containing x to the left, all other terms to the right. Add '-2yz2' to each side of the equation. -1x + 2yz2 + -2yz2 + -3z = 0 + -2yz2 Combine like terms: 2yz2 + -2yz2 = 0 -1x + 0 + -3z = 0 + -2yz2 -1x + -3z = 0 + -2yz2 Remove the zero: -1x + -3z = -2yz2 Add '3z' to each side of the equation. -1x + -3z + 3z = -2yz2 + 3z Combine like terms: -3z + 3z = 0 -1x + 0 = -2yz2 + 3z -1x = -2yz2 + 3z Divide each side by '-1'. x = 2yz2 + -3z Simplifying x = 2yz2 + -3zSolution
x = {2yz2 + -3z}
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