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

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


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

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

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

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

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

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

Combine like terms: 4x + -1x = 3x
fx = (-4 + 3x + x2)(-1 + x)

Multiply (-4 + 3x + x2) * (-1 + x)
fx = (-4(-1 + x) + 3x * (-1 + x) + x2(-1 + x))
fx = ((-1 * -4 + x * -4) + 3x * (-1 + x) + x2(-1 + x))
fx = ((4 + -4x) + 3x * (-1 + x) + x2(-1 + x))
fx = (4 + -4x + (-1 * 3x + x * 3x) + x2(-1 + x))
fx = (4 + -4x + (-3x + 3x2) + x2(-1 + x))
fx = (4 + -4x + -3x + 3x2 + (-1 * x2 + x * x2))
fx = (4 + -4x + -3x + 3x2 + (-1x2 + x3))

Combine like terms: -4x + -3x = -7x
fx = (4 + -7x + 3x2 + -1x2 + x3)

Combine like terms: 3x2 + -1x2 = 2x2
fx = (4 + -7x + 2x2 + x3)

Solving
fx = 4 + -7x + 2x2 + x3

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 4x-1 + -7 + 2x + x2

Simplifying
f = 4x-1 + -7 + 2x + x2

Reorder the terms:
f = -7 + 4x-1 + 2x + x2

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