f(x)=(x^2+16)(x^2-25)

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Solution for f(x)=(x^2+16)(x^2-25) equation: 


Simplifying
f(x) = (x2 + 16)(x2 + -25)

Multiply f * x
fx = (x2 + 16)(x2 + -25)

Reorder the terms:
fx = (16 + x2)(x2 + -25)

Reorder the terms:
fx = (16 + x2)(-25 + x2)

Multiply (16 + x2) * (-25 + x2)
fx = (16(-25 + x2) + x2(-25 + x2))
fx = ((-25 * 16 + x2 * 16) + x2(-25 + x2))
fx = ((-400 + 16x2) + x2(-25 + x2))
fx = (-400 + 16x2 + (-25 * x2 + x2 * x2))
fx = (-400 + 16x2 + (-25x2 + x4))

Combine like terms: 16x2 + -25x2 = -9x2
fx = (-400 + -9x2 + x4)

Solving
fx = -400 + -9x2 + x4

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -400x-1 + -9x + x3

Simplifying
f = -400x-1 + -9x + x3

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