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Simplifying -3z(-5z + 6) = 0 Reorder the terms: -3z(6 + -5z) = 0 (6 * -3z + -5z * -3z) = 0 (-18z + 15z2) = 0 Solving -18z + 15z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '3z'. 3z(-6 + 5z) = 0 Ignore the factor 3.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 '(-6 + 5z)' equal to zero and attempt to solve: Simplifying -6 + 5z = 0 Solving -6 + 5z = 0 Move all terms containing z to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5z = 0 + 6 5z = 0 + 6 Combine like terms: 0 + 6 = 6 5z = 6 Divide each side by '5'. z = 1.2 Simplifying z = 1.2Solution
z = {0, 1.2}
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