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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