z^2-25z=0

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Solution for z^2-25z=0 equation:


Simplifying
z2 + -25z = 0

Reorder the terms:
-25z + z2 = 0

Solving
-25z + z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(-25 + z) = 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 '(-25 + z)' equal to zero and attempt to solve: Simplifying -25 + z = 0 Solving -25 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + z = 0 + 25 Combine like terms: -25 + 25 = 0 0 + z = 0 + 25 z = 0 + 25 Combine like terms: 0 + 25 = 25 z = 25 Simplifying z = 25

Solution

z = {0, 25}

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