f(x)=(4x^2-25)(x^2+17x+72)

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Solution for f(x)=(4x^2-25)(x^2+17x+72) equation: 


Simplifying
f(x) = (4x2 + -25)(x2 + 17x + 72)

Multiply f * x
fx = (4x2 + -25)(x2 + 17x + 72)

Reorder the terms:
fx = (-25 + 4x2)(x2 + 17x + 72)

Reorder the terms:
fx = (-25 + 4x2)(72 + 17x + x2)

Multiply (-25 + 4x2) * (72 + 17x + x2)
fx = (-25(72 + 17x + x2) + 4x2 * (72 + 17x + x2))
fx = ((72 * -25 + 17x * -25 + x2 * -25) + 4x2 * (72 + 17x + x2))
fx = ((-1800 + -425x + -25x2) + 4x2 * (72 + 17x + x2))
fx = (-1800 + -425x + -25x2 + (72 * 4x2 + 17x * 4x2 + x2 * 4x2))
fx = (-1800 + -425x + -25x2 + (288x2 + 68x3 + 4x4))

Combine like terms: -25x2 + 288x2 = 263x2
fx = (-1800 + -425x + 263x2 + 68x3 + 4x4)

Solving
fx = -1800 + -425x + 263x2 + 68x3 + 4x4

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -1800x-1 + -425 + 263x + 68x2 + 4x3

Simplifying
f = -1800x-1 + -425 + 263x + 68x2 + 4x3

Reorder the terms:
f = -425 + -1800x-1 + 263x + 68x2 + 4x3

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