f(x-3)=5x^2-x-8

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Solution for f(x-3)=5x^2-x-8 equation:


Simplifying
f(x + -3) = 5x2 + -1x + -8

Reorder the terms:
f(-3 + x) = 5x2 + -1x + -8
(-3 * f + x * f) = 5x2 + -1x + -8
(-3f + fx) = 5x2 + -1x + -8

Reorder the terms:
-3f + fx = -8 + -1x + 5x2

Solving
-3f + fx = -8 + -1x + 5x2

Solving for variable 'f'.

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

Reorder the terms:
8 + -3f + fx + x + -5x2 = -8 + -1x + 5x2 + 8 + x + -5x2

Reorder the terms:
8 + -3f + fx + x + -5x2 = -8 + 8 + -1x + x + 5x2 + -5x2

Combine like terms: -8 + 8 = 0
8 + -3f + fx + x + -5x2 = 0 + -1x + x + 5x2 + -5x2
8 + -3f + fx + x + -5x2 = -1x + x + 5x2 + -5x2

Combine like terms: -1x + x = 0
8 + -3f + fx + x + -5x2 = 0 + 5x2 + -5x2
8 + -3f + fx + x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
8 + -3f + fx + x + -5x2 = 0

The solution to this equation could not be determined.

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