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Simplifying (3 + -1z) * z = 0 Reorder the terms for easier multiplication: z(3 + -1z) = 0 (3 * z + -1z * z) = 0 (3z + -1z2) = 0 Solving 3z + -1z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(3 + -1z) = 0Subproblem 1
Set the factor 'z' equal to zero and attempt to solve: Simplifying z = 0 Solving z = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z = 0Subproblem 2
Set the factor '(3 + -1z)' equal to zero and attempt to solve: Simplifying 3 + -1z = 0 Solving 3 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1z = 0 + -3 -1z = 0 + -3 Combine like terms: 0 + -3 = -3 -1z = -3 Divide each side by '-1'. z = 3 Simplifying z = 3Solution
z = {0, 3}
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