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Simplifying -4z(3z + 5) = 0 Reorder the terms: -4z(5 + 3z) = 0 (5 * -4z + 3z * -4z) = 0 (-20z + -12z2) = 0 Solving -20z + -12z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '-4z'. -4z(5 + 3z) = 0 Ignore the factor -4.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 '(5 + 3z)' equal to zero and attempt to solve: Simplifying 5 + 3z = 0 Solving 5 + 3z = 0 Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3z = 0 + -5 3z = 0 + -5 Combine like terms: 0 + -5 = -5 3z = -5 Divide each side by '3'. z = -1.666666667 Simplifying z = -1.666666667Solution
z = {0, -1.666666667}
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