f(x)=(x-2)(x+1)

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


Simplifying
f(x) = (x + -2)(x + 1)

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

Reorder the terms:
fx = (-2 + x)(x + 1)

Reorder the terms:
fx = (-2 + x)(1 + x)

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

Combine like terms: -2x + 1x = -1x
fx = (-2 + -1x + x2)

Solving
fx = -2 + -1x + x2

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 + -1 + x

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

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

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