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Simplifying 6x(x + -1z) = 0 (x * 6x + -1z * 6x) = 0 Reorder the terms: (-6xz + 6x2) = 0 (-6xz + 6x2) = 0 Solving -6xz + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x'. 6x(-1z + x) = 0 Ignore the factor 6.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 '(-1z + x)' equal to zero and attempt to solve: Simplifying -1z + x = 0 Reorder the terms: x + -1z = 0 Solving x + -1z = 0 Move all terms containing x to the left, all other terms to the right. Add 'z' to each side of the equation. x + -1z + z = 0 + z Combine like terms: -1z + z = 0 x + 0 = 0 + z x = 0 + z Remove the zero: x = z Simplifying x = zSolution
x = {0, z}
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