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Simplifying 8z(2z + -3) = 0 Reorder the terms: 8z(-3 + 2z) = 0 (-3 * 8z + 2z * 8z) = 0 (-24z + 16z2) = 0 Solving -24z + 16z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '8z'. 8z(-3 + 2z) = 0 Ignore the factor 8.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 '(-3 + 2z)' equal to zero and attempt to solve: Simplifying -3 + 2z = 0 Solving -3 + 2z = 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 + 2z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2z = 0 + 3 2z = 0 + 3 Combine like terms: 0 + 3 = 3 2z = 3 Divide each side by '2'. z = 1.5 Simplifying z = 1.5Solution
z = {0, 1.5}
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