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Simplifying 3xy + 6x2y2 + 9xz = 0factorized Reorder the terms: 3xy + 9xz + 6x2y2 = 0factorized Anything times zero is zero. 3xy + 9xz + 6x2y2 = 0acdefiortz Solving 3xy + 9xz + 6x2y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(y + 3z + 2xy2) = 0 Ignore the factor 3.Subproblem 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 '(y + 3z + 2xy2)' equal to zero and attempt to solve: Simplifying y + 3z + 2xy2 = 0 Reorder the terms: 2xy2 + y + 3z = 0 Solving 2xy2 + y + 3z = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 2xy2 + y + -1y + 3z = 0 + -1y Combine like terms: y + -1y = 0 2xy2 + 0 + 3z = 0 + -1y 2xy2 + 3z = 0 + -1y Remove the zero: 2xy2 + 3z = -1y Add '-3z' to each side of the equation. 2xy2 + 3z + -3z = -1y + -3z Combine like terms: 3z + -3z = 0 2xy2 + 0 = -1y + -3z 2xy2 = -1y + -3z Divide each side by '2y2'. x = -0.5y-1 + -1.5y-2z Simplifying x = -0.5y-1 + -1.5y-2z Reorder the terms: x = -1.5y-2z + -0.5y-1Solution
x = {0, -1.5y-2z + -0.5y-1}
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