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Simplifying 3x2 + 3xz = 0 Reorder the terms: 3xz + 3x2 = 0 Solving 3xz + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(z + x) = 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 '(z + x)' equal to zero and attempt to solve: Simplifying z + x = 0 Reorder the terms: x + z = 0 Solving x + z = 0 Move all terms containing x to the left, all other terms to the right. Add '-1z' to each side of the equation. x + z + -1z = 0 + -1z Combine like terms: z + -1z = 0 x + 0 = 0 + -1z x = 0 + -1z Remove the zero: x = -1z Simplifying x = -1zSolution
x = {0, -1z}
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