f(x)=(a+1)x^2-2ax+(a-2)

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Solution for f(x)=(a+1)x^2-2ax+(a-2) equation: 


Simplifying
f(x) = (a + 1) * x2 + -2ax + (a + -2)

Multiply f * x
fx = (a + 1) * x2 + -2ax + (a + -2)

Reorder the terms:
fx = (1 + a) * x2 + -2ax + (a + -2)

Reorder the terms for easier multiplication:
fx = x2(1 + a) + -2ax + (a + -2)
fx = (1 * x2 + a * x2) + -2ax + (a + -2)

Reorder the terms:
fx = (ax2 + 1x2) + -2ax + (a + -2)
fx = (ax2 + 1x2) + -2ax + (a + -2)

Reorder the terms:
fx = ax2 + 1x2 + -2ax + (-2 + a)

Remove parenthesis around (-2 + a)
fx = ax2 + 1x2 + -2ax + -2 + a

Reorder the terms:
fx = -2 + a + -2ax + ax2 + 1x2

Solving
fx = -2 + a + -2ax + ax2 + 1x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -2x-1 + ax-1 + -2a + ax + x

Simplifying
f = -2x-1 + ax-1 + -2a + ax + x

Reorder the terms:
f = -2a + ax-1 + ax + -2x-1 + x

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