f(x)=0.1(x+1)(x-0.5)(x-4)

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Solution for f(x)=0.1(x+1)(x-0.5)(x-4) equation: 


Simplifying
f(x) = 0.1(x + 1)(x + -0.5)(x + -4)

Multiply f * x
fx = 0.1(x + 1)(x + -0.5)(x + -4)

Reorder the terms:
fx = 0.1(1 + x)(x + -0.5)(x + -4)

Reorder the terms:
fx = 0.1(1 + x)(-0.5 + x)(x + -4)

Reorder the terms:
fx = 0.1(1 + x)(-0.5 + x)(-4 + x)

Multiply (1 + x) * (-0.5 + x)
fx = 0.1(1(-0.5 + x) + x(-0.5 + x))(-4 + x)
fx = 0.1((-0.5 * 1 + x * 1) + x(-0.5 + x))(-4 + x)
fx = 0.1((-0.5 + 1x) + x(-0.5 + x))(-4 + x)
fx = 0.1(-0.5 + 1x + (-0.5 * x + x * x))(-4 + x)
fx = 0.1(-0.5 + 1x + (-0.5x + x2))(-4 + x)

Combine like terms: 1x + -0.5x = 0.5x
fx = 0.1(-0.5 + 0.5x + x2)(-4 + x)

Multiply (-0.5 + 0.5x + x2) * (-4 + x)
fx = 0.1(-0.5(-4 + x) + 0.5x * (-4 + x) + x2(-4 + x))
fx = 0.1((-4 * -0.5 + x * -0.5) + 0.5x * (-4 + x) + x2(-4 + x))
fx = 0.1((2 + -0.5x) + 0.5x * (-4 + x) + x2(-4 + x))
fx = 0.1(2 + -0.5x + (-4 * 0.5x + x * 0.5x) + x2(-4 + x))
fx = 0.1(2 + -0.5x + (-2x + 0.5x2) + x2(-4 + x))
fx = 0.1(2 + -0.5x + -2x + 0.5x2 + (-4 * x2 + x * x2))
fx = 0.1(2 + -0.5x + -2x + 0.5x2 + (-4x2 + x3))

Combine like terms: -0.5x + -2x = -2.5x
fx = 0.1(2 + -2.5x + 0.5x2 + -4x2 + x3)

Combine like terms: 0.5x2 + -4x2 = -3.5x2
fx = 0.1(2 + -2.5x + -3.5x2 + x3)
fx = (2 * 0.1 + -2.5x * 0.1 + -3.5x2 * 0.1 + x3 * 0.1)
fx = (0.2 + -0.25x + -0.35x2 + 0.1x3)

Solving
fx = 0.2 + -0.25x + -0.35x2 + 0.1x3

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 0.2x-1 + -0.25 + -0.35x + 0.1x2

Simplifying
f = 0.2x-1 + -0.25 + -0.35x + 0.1x2

Reorder the terms:
f = -0.25 + 0.2x-1 + -0.35x + 0.1x2

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