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Simplifying 14x2y2z + 21xy2z2 = 0 Reorder the terms: 21xy2z2 + 14x2y2z = 0 Solving 21xy2z2 + 14x2y2z = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7xy2z'. 7xy2z(3z + 2x) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'xy2z' equal to zero and attempt to solve: Simplifying xy2z = 0 Solving xy2z = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy2z = 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 '(3z + 2x)' equal to zero and attempt to solve: Simplifying 3z + 2x = 0 Reorder the terms: 2x + 3z = 0 Solving 2x + 3z = 0 Move all terms containing x to the left, all other terms to the right. Add '-3z' to each side of the equation. 2x + 3z + -3z = 0 + -3z Combine like terms: 3z + -3z = 0 2x + 0 = 0 + -3z 2x = 0 + -3z Remove the zero: 2x = -3z Divide each side by '2'. x = -1.5z Simplifying x = -1.5zSolution
x = {-1.5z}
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