f(x+5)=x*x+kx+30

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Solution for f(x+5)=x*x+kx+30 equation:


Simplifying
f(x + 5) = x * x + kx + 30

Reorder the terms:
f(5 + x) = x * x + kx + 30
(5 * f + x * f) = x * x + kx + 30
(5f + fx) = x * x + kx + 30

Multiply x * x
5f + fx = x2 + kx + 30

Reorder the terms:
5f + fx = 30 + kx + x2

Solving
5f + fx = 30 + kx + 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 + -1kx + -1x2 = 30 + kx + x2 + -30 + -1kx + -1x2

Reorder the terms:
-30 + 5f + fx + -1kx + -1x2 = 30 + -30 + kx + -1kx + x2 + -1x2

Combine like terms: 30 + -30 = 0
-30 + 5f + fx + -1kx + -1x2 = 0 + kx + -1kx + x2 + -1x2
-30 + 5f + fx + -1kx + -1x2 = kx + -1kx + x2 + -1x2

Combine like terms: kx + -1kx = 0
-30 + 5f + fx + -1kx + -1x2 = 0 + x2 + -1x2
-30 + 5f + fx + -1kx + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-30 + 5f + fx + -1kx + -1x2 = 0

The solution to this equation could not be determined.

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