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Simplifying 40x3y3z3 + 24x2y2z + 16x2yz2 = 0 Reorder the terms: 16x2yz2 + 24x2y2z + 40x3y3z3 = 0 Solving 16x2yz2 + 24x2y2z + 40x3y3z3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8x2yz'. 8x2yz(2z + 3y + 5xy2z2) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'x2yz' equal to zero and attempt to solve: Simplifying x2yz = 0 Solving x2yz = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2yz = 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 '(2z + 3y + 5xy2z2)' equal to zero and attempt to solve: Simplifying 2z + 3y + 5xy2z2 = 0 Reorder the terms: 5xy2z2 + 3y + 2z = 0 Solving 5xy2z2 + 3y + 2z = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 5xy2z2 + 3y + -3y + 2z = 0 + -3y Combine like terms: 3y + -3y = 0 5xy2z2 + 0 + 2z = 0 + -3y 5xy2z2 + 2z = 0 + -3y Remove the zero: 5xy2z2 + 2z = -3y Add '-2z' to each side of the equation. 5xy2z2 + 2z + -2z = -3y + -2z Combine like terms: 2z + -2z = 0 5xy2z2 + 0 = -3y + -2z 5xy2z2 = -3y + -2z Divide each side by '5y2z2'. x = -0.6y-1z-2 + -0.4y-2z-1 Simplifying x = -0.6y-1z-2 + -0.4y-2z-1 Reorder the terms: x = -0.4y-2z-1 + -0.6y-1z-2Solution
x = {-0.4y-2z-1 + -0.6y-1z-2}
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