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Simplifying z(3z + -1) = 0 Reorder the terms: z(-1 + 3z) = 0 (-1 * z + 3z * z) = 0 (-1z + 3z2) = 0 Solving -1z + 3z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(-1 + 3z) = 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 '(-1 + 3z)' equal to zero and attempt to solve: Simplifying -1 + 3z = 0 Solving -1 + 3z = 0 Move all terms containing z to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3z = 0 + 1 3z = 0 + 1 Combine like terms: 0 + 1 = 1 3z = 1 Divide each side by '3'. z = 0.3333333333 Simplifying z = 0.3333333333Solution
z = {0, 0.3333333333}
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