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Simplifying xy2 + -5xz + 4x2yz3 = 0 Solving xy2 + -5xz + 4x2yz3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(y2 + -5z + 4xyz3) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(y2 + -5z + 4xyz3)' equal to zero and attempt to solve: Simplifying y2 + -5z + 4xyz3 = 0 Reorder the terms: 4xyz3 + y2 + -5z = 0 Solving 4xyz3 + y2 + -5z = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. 4xyz3 + y2 + -1y2 + -5z = 0 + -1y2 Combine like terms: y2 + -1y2 = 0 4xyz3 + 0 + -5z = 0 + -1y2 4xyz3 + -5z = 0 + -1y2 Remove the zero: 4xyz3 + -5z = -1y2 Add '5z' to each side of the equation. 4xyz3 + -5z + 5z = -1y2 + 5z Combine like terms: -5z + 5z = 0 4xyz3 + 0 = -1y2 + 5z 4xyz3 = -1y2 + 5z Divide each side by '4yz3'. x = -0.25yz-3 + 1.25y-1z-2 Simplifying x = -0.25yz-3 + 1.25y-1z-2 Reorder the terms: x = 1.25y-1z-2 + -0.25yz-3Solution
x = {0, 1.25y-1z-2 + -0.25yz-3}
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