2K(K-1)=K(2K+1)

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Solution for 2K(K-1)=K(2K+1) equation: 


Simplifying
2K(K + -1) = K(2K + 1)

Reorder the terms:
2K(-1 + K) = K(2K + 1)
(-1 * 2K + K * 2K) = K(2K + 1)
(-2K + 2K2) = K(2K + 1)

Reorder the terms:
-2K + 2K2 = K(1 + 2K)
-2K + 2K2 = (1 * K + 2K * K)
-2K + 2K2 = (1K + 2K2)

Add '-2K2' to each side of the equation.
-2K + 2K2 + -2K2 = 1K + 2K2 + -2K2

Combine like terms: 2K2 + -2K2 = 0
-2K + 0 = 1K + 2K2 + -2K2
-2K = 1K + 2K2 + -2K2

Combine like terms: 2K2 + -2K2 = 0
-2K = 1K + 0
-2K = 1K

Solving
-2K = 1K

Solving for variable 'K'.

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

Add '-1K' to each side of the equation.
-2K + -1K = 1K + -1K

Combine like terms: -2K + -1K = -3K
-3K = 1K + -1K

Combine like terms: 1K + -1K = 0
-3K = 0

Divide each side by '-3'.
K = 0

Simplifying
K = 0

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