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

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


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

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

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

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

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

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

Solving
fx = 2 + -1x + -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 + -1 + -1x

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

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

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