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

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


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

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

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

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

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

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

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

Multiply (-2 + 1x + x2) * (1 + x)
fx = -1(-2(1 + x) + 1x * (1 + x) + x2(1 + x))
fx = -1((1 * -2 + x * -2) + 1x * (1 + x) + x2(1 + x))
fx = -1((-2 + -2x) + 1x * (1 + x) + x2(1 + x))
fx = -1(-2 + -2x + (1 * 1x + x * 1x) + x2(1 + x))
fx = -1(-2 + -2x + (1x + 1x2) + x2(1 + x))
fx = -1(-2 + -2x + 1x + 1x2 + (1 * x2 + x * x2))
fx = -1(-2 + -2x + 1x + 1x2 + (1x2 + x3))

Combine like terms: -2x + 1x = -1x
fx = -1(-2 + -1x + 1x2 + 1x2 + x3)

Combine like terms: 1x2 + 1x2 = 2x2
fx = -1(-2 + -1x + 2x2 + x3)
fx = (-2 * -1 + -1x * -1 + 2x2 * -1 + x3 * -1)
fx = (2 + 1x + -2x2 + -1x3)

Solving
fx = 2 + 1x + -2x2 + -1x3

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 + -2x + -1x2

Simplifying
f = 2x-1 + 1 + -2x + -1x2

Reorder the terms:
f = 1 + 2x-1 + -2x + -1x2

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