k(8k-5)=0

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Solution for k(8k-5)=0 equation: 


Simplifying
k(8k + -5) = 0

Reorder the terms:
k(-5 + 8k) = 0
(-5 * k + 8k * k) = 0
(-5k + 8k2) = 0

Solving
-5k + 8k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(-5 + 8k) = 0


Subproblem 1
Set the factor 'k' equal to zero and attempt to solve:

Simplifying
k = 0

Solving
k = 0

Move all terms containing k to the left, all other terms to the right.

Simplifying
k = 0

Subproblem 2
Set the factor '(-5 + 8k)' equal to zero and attempt to solve:

Simplifying
-5 + 8k = 0

Solving
-5 + 8k = 0

Move all terms containing k to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + 8k = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 8k = 0 + 5
8k = 0 + 5

Combine like terms: 0 + 5 = 5
8k = 5

Divide each side by '8'.
k = 0.625

Simplifying
k = 0.625
Solution
k = {0, 0.625}

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