8K+6K(K+2K)=

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Solution for 8K+6K(K+2K)= equation: 


Simplifying
8K + 6K(K + 2K) = 0

Combine like terms: K + 2K = 3K
8K + 6K(3K) = 0

Remove parenthesis around (3K)
8K + 6K * 3K = 0

Reorder the terms for easier multiplication:
8K + 6 * 3K * K = 0

Multiply 6 * 3
8K + 18K * K = 0

Multiply K * K
8K + 18K2 = 0

Solving
8K + 18K2 = 0

Solving for variable 'K'.

Factor out the Greatest Common Factor (GCF), '2K'.
2K(4 + 9K) = 0

Ignore the factor 2.

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 '(4 + 9K)' equal to zero and attempt to solve:

Simplifying
4 + 9K = 0

Solving
4 + 9K = 0

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

Add '-4' to each side of the equation.
4 + -4 + 9K = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 9K = 0 + -4
9K = 0 + -4

Combine like terms: 0 + -4 = -4
9K = -4

Divide each side by '9'.
K = -0.4444444444

Simplifying
K = -0.4444444444
Solution
K = {0, -0.4444444444}

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