f(x)=0.25(x+2)(x-1)(x-3)

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Solution for f(x)=0.25(x+2)(x-1)(x-3) equation: 


Simplifying
f(x) = 0.25(x + 2)(x + -1)(x + -3)

Multiply f * x
fx = 0.25(x + 2)(x + -1)(x + -3)

Reorder the terms:
fx = 0.25(2 + x)(x + -1)(x + -3)

Reorder the terms:
fx = 0.25(2 + x)(-1 + x)(x + -3)

Reorder the terms:
fx = 0.25(2 + x)(-1 + x)(-3 + x)

Multiply (2 + x) * (-1 + x)
fx = 0.25(2(-1 + x) + x(-1 + x))(-3 + x)
fx = 0.25((-1 * 2 + x * 2) + x(-1 + x))(-3 + x)
fx = 0.25((-2 + 2x) + x(-1 + x))(-3 + x)
fx = 0.25(-2 + 2x + (-1 * x + x * x))(-3 + x)
fx = 0.25(-2 + 2x + (-1x + x2))(-3 + x)

Combine like terms: 2x + -1x = 1x
fx = 0.25(-2 + 1x + x2)(-3 + x)

Multiply (-2 + 1x + x2) * (-3 + x)
fx = 0.25(-2(-3 + x) + 1x * (-3 + x) + x2(-3 + x))
fx = 0.25((-3 * -2 + x * -2) + 1x * (-3 + x) + x2(-3 + x))
fx = 0.25((6 + -2x) + 1x * (-3 + x) + x2(-3 + x))
fx = 0.25(6 + -2x + (-3 * 1x + x * 1x) + x2(-3 + x))
fx = 0.25(6 + -2x + (-3x + 1x2) + x2(-3 + x))
fx = 0.25(6 + -2x + -3x + 1x2 + (-3 * x2 + x * x2))
fx = 0.25(6 + -2x + -3x + 1x2 + (-3x2 + x3))

Combine like terms: -2x + -3x = -5x
fx = 0.25(6 + -5x + 1x2 + -3x2 + x3)

Combine like terms: 1x2 + -3x2 = -2x2
fx = 0.25(6 + -5x + -2x2 + x3)
fx = (6 * 0.25 + -5x * 0.25 + -2x2 * 0.25 + x3 * 0.25)
fx = (1.5 + -1.25x + -0.5x2 + 0.25x3)

Solving
fx = 1.5 + -1.25x + -0.5x2 + 0.25x3

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 1.5x-1 + -1.25 + -0.5x + 0.25x2

Simplifying
f = 1.5x-1 + -1.25 + -0.5x + 0.25x2

Reorder the terms:
f = -1.25 + 1.5x-1 + -0.5x + 0.25x2

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