5z^2-4z=0

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Solution for 5z^2-4z=0 equation:


Simplifying
5z2 + -4z = 0

Reorder the terms:
-4z + 5z2 = 0

Solving
-4z + 5z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(-4 + 5z) = 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 '(-4 + 5z)' equal to zero and attempt to solve: Simplifying -4 + 5z = 0 Solving -4 + 5z = 0 Move all terms containing z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5z = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5z = 0 + 4 5z = 0 + 4 Combine like terms: 0 + 4 = 4 5z = 4 Divide each side by '5'. z = 0.8 Simplifying z = 0.8

Solution

z = {0, 0.8}

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