f(x)=(2x-7)(x^2-5x-24)

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Solution for f(x)=(2x-7)(x^2-5x-24) equation:


Simplifying
f(x) = (2x + -7)(x2 + -5x + -24)

Multiply f * x
fx = (2x + -7)(x2 + -5x + -24)

Reorder the terms:
fx = (-7 + 2x)(x2 + -5x + -24)

Reorder the terms:
fx = (-7 + 2x)(-24 + -5x + x2)

Multiply (-7 + 2x) * (-24 + -5x + x2)
fx = (-7(-24 + -5x + x2) + 2x * (-24 + -5x + x2))
fx = ((-24 * -7 + -5x * -7 + x2 * -7) + 2x * (-24 + -5x + x2))
fx = ((168 + 35x + -7x2) + 2x * (-24 + -5x + x2))
fx = (168 + 35x + -7x2 + (-24 * 2x + -5x * 2x + x2 * 2x))
fx = (168 + 35x + -7x2 + (-48x + -10x2 + 2x3))

Reorder the terms:
fx = (168 + 35x + -48x + -7x2 + -10x2 + 2x3)

Combine like terms: 35x + -48x = -13x
fx = (168 + -13x + -7x2 + -10x2 + 2x3)

Combine like terms: -7x2 + -10x2 = -17x2
fx = (168 + -13x + -17x2 + 2x3)

Solving
fx = 168 + -13x + -17x2 + 2x3

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 168x-1 + -13 + -17x + 2x2

Simplifying
f = 168x-1 + -13 + -17x + 2x2

Reorder the terms:
f = -13 + 168x-1 + -17x + 2x2

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