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Simplifying 6z2 + -15z = 0 Reorder the terms: -15z + 6z2 = 0 Solving -15z + 6z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '3z'. 3z(-5 + 2z) = 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 '(-5 + 2z)' equal to zero and attempt to solve: Simplifying -5 + 2z = 0 Solving -5 + 2z = 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 + 2z = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2z = 0 + 5 2z = 0 + 5 Combine like terms: 0 + 5 = 5 2z = 5 Divide each side by '2'. z = 2.5 Simplifying z = 2.5Solution
z = {0, 2.5}
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