3z^2-8z=0

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Solution for 3z^2-8z=0 equation:


Simplifying
3z2 + -8z = 0

Reorder the terms:
-8z + 3z2 = 0

Solving
-8z + 3z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(-8 + 3z) = 0

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 = 0

Subproblem 2

Set the factor '(-8 + 3z)' equal to zero and attempt to solve: Simplifying -8 + 3z = 0 Solving -8 + 3z = 0 Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 3z = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3z = 0 + 8 3z = 0 + 8 Combine like terms: 0 + 8 = 8 3z = 8 Divide each side by '3'. z = 2.666666667 Simplifying z = 2.666666667

Solution

z = {0, 2.666666667}

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