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Simplifying -5z(3z + -1) = 0 Reorder the terms: -5z(-1 + 3z) = 0 (-1 * -5z + 3z * -5z) = 0 (5z + -15z2) = 0 Solving 5z + -15z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '5z'. 5z(1 + -3z) = 0 Ignore the factor 5.Subproblem 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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