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Simplifying 3x3y5z + -24x2y3z4 + 9x2y = 0 Reorder the terms: 9x2y + -24x2y3z4 + 3x3y5z = 0 Solving 9x2y + -24x2y3z4 + 3x3y5z = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2y'. 3x2y(3 + -8y2z4 + xy4z) = 0 Ignore the factor 3.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 '(3 + -8y2z4 + xy4z)' equal to zero and attempt to solve: Simplifying 3 + -8y2z4 + xy4z = 0 Reorder the terms: 3 + xy4z + -8y2z4 = 0 Solving 3 + xy4z + -8y2z4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + xy4z + -3 + -8y2z4 = 0 + -3 Reorder the terms: 3 + -3 + xy4z + -8y2z4 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + xy4z + -8y2z4 = 0 + -3 xy4z + -8y2z4 = 0 + -3 Combine like terms: 0 + -3 = -3 xy4z + -8y2z4 = -3 Add '8y2z4' to each side of the equation. xy4z + -8y2z4 + 8y2z4 = -3 + 8y2z4 Combine like terms: -8y2z4 + 8y2z4 = 0 xy4z + 0 = -3 + 8y2z4 xy4z = -3 + 8y2z4 Divide each side by 'y4z'. x = -3y-4z-1 + 8y-2z3 Simplifying x = -3y-4z-1 + 8y-2z3Solution
x = {-3y-4z-1 + 8y-2z3}
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