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Simplifying -5z(3z + -6) + 5z2 = 0 Reorder the terms: -5z(-6 + 3z) + 5z2 = 0 (-6 * -5z + 3z * -5z) + 5z2 = 0 (30z + -15z2) + 5z2 = 0 Combine like terms: -15z2 + 5z2 = -10z2 30z + -10z2 = 0 Solving 30z + -10z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '10z'. 10z(3 + -1z) = 0 Ignore the factor 10.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 + -1z)' equal to zero and attempt to solve: Simplifying 3 + -1z = 0 Solving 3 + -1z = 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 + -1z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1z = 0 + -3 -1z = 0 + -3 Combine like terms: 0 + -3 = -3 -1z = -3 Divide each side by '-1'. z = 3 Simplifying z = 3Solution
z = {0, 3}
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