f(x-1)=4x^2+5x+6

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Solution for f(x-1)=4x^2+5x+6 equation:


Simplifying
f(x + -1) = 4x2 + 5x + 6

Reorder the terms:
f(-1 + x) = 4x2 + 5x + 6
(-1 * f + x * f) = 4x2 + 5x + 6
(-1f + fx) = 4x2 + 5x + 6

Reorder the terms:
-1f + fx = 6 + 5x + 4x2

Solving
-1f + fx = 6 + 5x + 4x2

Solving for variable 'f'.

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

Reorder the terms:
-6 + -1f + fx + -5x + -4x2 = 6 + 5x + 4x2 + -6 + -5x + -4x2

Reorder the terms:
-6 + -1f + fx + -5x + -4x2 = 6 + -6 + 5x + -5x + 4x2 + -4x2

Combine like terms: 6 + -6 = 0
-6 + -1f + fx + -5x + -4x2 = 0 + 5x + -5x + 4x2 + -4x2
-6 + -1f + fx + -5x + -4x2 = 5x + -5x + 4x2 + -4x2

Combine like terms: 5x + -5x = 0
-6 + -1f + fx + -5x + -4x2 = 0 + 4x2 + -4x2
-6 + -1f + fx + -5x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-6 + -1f + fx + -5x + -4x2 = 0

The solution to this equation could not be determined.

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