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Simplifying -6x4y3z + -12x5y3 + -18x4y2z = 0 Reorder the terms: -18x4y2z + -6x4y3z + -12x5y3 = 0 Solving -18x4y2z + -6x4y3z + -12x5y3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-6x4y2'. -6x4y2(3z + yz + 2xy) = 0 Ignore the factor -6.Subproblem 1
Set the factor 'x4y2' equal to zero and attempt to solve: Simplifying x4y2 = 0 Solving x4y2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4y2 = 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 + yz + 2xy)' equal to zero and attempt to solve: Simplifying 3z + yz + 2xy = 0 Reorder the terms: 2xy + yz + 3z = 0 Solving 2xy + yz + 3z = 0 Move all terms containing x to the left, all other terms to the right. Add '-1yz' to each side of the equation. 2xy + yz + -1yz + 3z = 0 + -1yz Combine like terms: yz + -1yz = 0 2xy + 0 + 3z = 0 + -1yz 2xy + 3z = 0 + -1yz Remove the zero: 2xy + 3z = -1yz Add '-3z' to each side of the equation. 2xy + 3z + -3z = -1yz + -3z Combine like terms: 3z + -3z = 0 2xy + 0 = -1yz + -3z 2xy = -1yz + -3z Divide each side by '2y'. x = -0.5z + -1.5y-1z Simplifying x = -0.5z + -1.5y-1z Reorder the terms: x = -1.5y-1z + -0.5zSolution
x = {-1.5y-1z + -0.5z}
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