f(x)=(x^2-3x-40)(x-3)

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Solution for f(x)=(x^2-3x-40)(x-3) equation: 


Simplifying
f(x) = (x2 + -3x + -40)(x + -3)

Multiply f * x
fx = (x2 + -3x + -40)(x + -3)

Reorder the terms:
fx = (-40 + -3x + x2)(x + -3)

Reorder the terms:
fx = (-40 + -3x + x2)(-3 + x)

Multiply (-40 + -3x + x2) * (-3 + x)
fx = (-40(-3 + x) + -3x * (-3 + x) + x2(-3 + x))
fx = ((-3 * -40 + x * -40) + -3x * (-3 + x) + x2(-3 + x))
fx = ((120 + -40x) + -3x * (-3 + x) + x2(-3 + x))
fx = (120 + -40x + (-3 * -3x + x * -3x) + x2(-3 + x))
fx = (120 + -40x + (9x + -3x2) + x2(-3 + x))
fx = (120 + -40x + 9x + -3x2 + (-3 * x2 + x * x2))
fx = (120 + -40x + 9x + -3x2 + (-3x2 + x3))

Combine like terms: -40x + 9x = -31x
fx = (120 + -31x + -3x2 + -3x2 + x3)

Combine like terms: -3x2 + -3x2 = -6x2
fx = (120 + -31x + -6x2 + x3)

Solving
fx = 120 + -31x + -6x2 + 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 = 120x-1 + -31 + -6x + x2

Simplifying
f = 120x-1 + -31 + -6x + x2

Reorder the terms:
f = -31 + 120x-1 + -6x + x2

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