f(x)=(x^2-3x-28)(x+4)

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Solution for f(x)=(x^2-3x-28)(x+4) equation: 


Simplifying
f(x) = (x2 + -3x + -28)(x + 4)

Multiply f * x
fx = (x2 + -3x + -28)(x + 4)

Reorder the terms:
fx = (-28 + -3x + x2)(x + 4)

Reorder the terms:
fx = (-28 + -3x + x2)(4 + x)

Multiply (-28 + -3x + x2) * (4 + x)
fx = (-28(4 + x) + -3x * (4 + x) + x2(4 + x))
fx = ((4 * -28 + x * -28) + -3x * (4 + x) + x2(4 + x))
fx = ((-112 + -28x) + -3x * (4 + x) + x2(4 + x))
fx = (-112 + -28x + (4 * -3x + x * -3x) + x2(4 + x))
fx = (-112 + -28x + (-12x + -3x2) + x2(4 + x))
fx = (-112 + -28x + -12x + -3x2 + (4 * x2 + x * x2))
fx = (-112 + -28x + -12x + -3x2 + (4x2 + x3))

Combine like terms: -28x + -12x = -40x
fx = (-112 + -40x + -3x2 + 4x2 + x3)

Combine like terms: -3x2 + 4x2 = 1x2
fx = (-112 + -40x + 1x2 + x3)

Solving
fx = -112 + -40x + 1x2 + 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 = -112x-1 + -40 + x + x2

Simplifying
f = -112x-1 + -40 + x + x2

Reorder the terms:
f = -40 + -112x-1 + x + x2

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