F(X+5)=x^2+Kx+30

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Solution for F(X+5)=x^2+Kx+30 equation: 


Simplifying
F(X + 5) = x2 + Kx + 30

Reorder the terms:
F(5 + X) = x2 + Kx + 30
(5 * F + X * F) = x2 + Kx + 30
(5F + FX) = x2 + Kx + 30

Reorder the terms:
5F + FX = 30 + xK + x2

Solving
5F + FX = 30 + xK + x2

Solving for variable 'F'.

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

Reorder the terms:
-30 + 5F + FX + -1xK + -1x2 = 30 + xK + x2 + -30 + -1xK + -1x2

Reorder the terms:
-30 + 5F + FX + -1xK + -1x2 = 30 + -30 + xK + -1xK + x2 + -1x2

Combine like terms: 30 + -30 = 0
-30 + 5F + FX + -1xK + -1x2 = 0 + xK + -1xK + x2 + -1x2
-30 + 5F + FX + -1xK + -1x2 = xK + -1xK + x2 + -1x2

Combine like terms: xK + -1xK = 0
-30 + 5F + FX + -1xK + -1x2 = 0 + x2 + -1x2
-30 + 5F + FX + -1xK + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-30 + 5F + FX + -1xK + -1x2 = 0

The solution to this equation could not be determined.

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