f(x)=(x^2+2500)(x^2-1600)

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Solution for f(x)=(x^2+2500)(x^2-1600) equation: 


Simplifying
f(x) = (x2 + 2500)(x2 + -1600)

Multiply f * x
fx = (x2 + 2500)(x2 + -1600)

Reorder the terms:
fx = (2500 + x2)(x2 + -1600)

Reorder the terms:
fx = (2500 + x2)(-1600 + x2)

Multiply (2500 + x2) * (-1600 + x2)
fx = (2500(-1600 + x2) + x2(-1600 + x2))
fx = ((-1600 * 2500 + x2 * 2500) + x2(-1600 + x2))
fx = ((-4000000 + 2500x2) + x2(-1600 + x2))
fx = (-4000000 + 2500x2 + (-1600 * x2 + x2 * x2))
fx = (-4000000 + 2500x2 + (-1600x2 + x4))

Combine like terms: 2500x2 + -1600x2 = 900x2
fx = (-4000000 + 900x2 + x4)

Solving
fx = -4000000 + 900x2 + 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 = -4000000x-1 + 900x + x3

Simplifying
f = -4000000x-1 + 900x + x3

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