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Simplifying 4x3y2 + 20x2yz3 = 0 Reorder the terms: 20x2yz3 + 4x3y2 = 0 Solving 20x2yz3 + 4x3y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x2y'. 4x2y(5z3 + xy) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y = 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 '(5z3 + xy)' equal to zero and attempt to solve: Simplifying 5z3 + xy = 0 Reorder the terms: xy + 5z3 = 0 Solving xy + 5z3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5z3' to each side of the equation. xy + 5z3 + -5z3 = 0 + -5z3 Combine like terms: 5z3 + -5z3 = 0 xy + 0 = 0 + -5z3 xy = 0 + -5z3 Remove the zero: xy = -5z3 Divide each side by 'y'. x = -5y-1z3 Simplifying x = -5y-1z3Solution
x = {-5y-1z3}
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