f(6-T)f(x)=3-5x-2x^2

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Solution for f(6-T)f(x)=3-5x-2x^2 equation: 


Simplifying
f(6 + -1T) * f(x) = 3 + -5x + -2x2

Reorder the terms for easier multiplication:
f * f * x(6 + -1T) = 3 + -5x + -2x2

Multiply f * f
f2 * x(6 + -1T) = 3 + -5x + -2x2

Multiply f2 * x
f2x(6 + -1T) = 3 + -5x + -2x2
(6 * f2x + -1T * f2x) = 3 + -5x + -2x2
(6f2x + -1f2xT) = 3 + -5x + -2x2

Solving
6f2x + -1f2xT = 3 + -5x + -2x2

Solving for variable 'f'.

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

Reorder the terms:
-3 + 6f2x + -1f2xT + 5x + 2x2 = 3 + -5x + -2x2 + -3 + 5x + 2x2

Reorder the terms:
-3 + 6f2x + -1f2xT + 5x + 2x2 = 3 + -3 + -5x + 5x + -2x2 + 2x2

Combine like terms: 3 + -3 = 0
-3 + 6f2x + -1f2xT + 5x + 2x2 = 0 + -5x + 5x + -2x2 + 2x2
-3 + 6f2x + -1f2xT + 5x + 2x2 = -5x + 5x + -2x2 + 2x2

Combine like terms: -5x + 5x = 0
-3 + 6f2x + -1f2xT + 5x + 2x2 = 0 + -2x2 + 2x2
-3 + 6f2x + -1f2xT + 5x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-3 + 6f2x + -1f2xT + 5x + 2x2 = 0

The solution to this equation could not be determined.

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