K(-s+2)=3(s^2+4)-(-s+2)+6

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Solution for K(-s+2)=3(s^2+4)-(-s+2)+6 equation: 


Simplifying
K(-1s + 2) = 3(s2 + 4) + -1(-1s + 2) + 6

Reorder the terms:
K(2 + -1s) = 3(s2 + 4) + -1(-1s + 2) + 6
(2 * K + -1s * K) = 3(s2 + 4) + -1(-1s + 2) + 6
(2K + -1sK) = 3(s2 + 4) + -1(-1s + 2) + 6

Reorder the terms:
2K + -1sK = 3(4 + s2) + -1(-1s + 2) + 6
2K + -1sK = (4 * 3 + s2 * 3) + -1(-1s + 2) + 6
2K + -1sK = (12 + 3s2) + -1(-1s + 2) + 6

Reorder the terms:
2K + -1sK = 12 + 3s2 + -1(2 + -1s) + 6
2K + -1sK = 12 + 3s2 + (2 * -1 + -1s * -1) + 6
2K + -1sK = 12 + 3s2 + (-2 + 1s) + 6

Reorder the terms:
2K + -1sK = 12 + -2 + 6 + 1s + 3s2

Combine like terms: 12 + -2 = 10
2K + -1sK = 10 + 6 + 1s + 3s2

Combine like terms: 10 + 6 = 16
2K + -1sK = 16 + 1s + 3s2

Solving
2K + -1sK = 16 + 1s + 3s2

Solving for variable 'K'.

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

Reorder the terms:
-16 + 2K + -1s + -1sK + -3s2 = 16 + 1s + 3s2 + -16 + -1s + -3s2

Reorder the terms:
-16 + 2K + -1s + -1sK + -3s2 = 16 + -16 + 1s + -1s + 3s2 + -3s2

Combine like terms: 16 + -16 = 0
-16 + 2K + -1s + -1sK + -3s2 = 0 + 1s + -1s + 3s2 + -3s2
-16 + 2K + -1s + -1sK + -3s2 = 1s + -1s + 3s2 + -3s2

Combine like terms: 1s + -1s = 0
-16 + 2K + -1s + -1sK + -3s2 = 0 + 3s2 + -3s2
-16 + 2K + -1s + -1sK + -3s2 = 3s2 + -3s2

Combine like terms: 3s2 + -3s2 = 0
-16 + 2K + -1s + -1sK + -3s2 = 0

The solution to this equation could not be determined.

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