f(x)=(x^2+10x-39)(x^2+25x+41)

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Solution for f(x)=(x^2+10x-39)(x^2+25x+41) equation: 


Simplifying
f(x) = (x2 + 10x + -39)(x2 + 25x + 41)

Multiply f * x
fx = (x2 + 10x + -39)(x2 + 25x + 41)

Reorder the terms:
fx = (-39 + 10x + x2)(x2 + 25x + 41)

Reorder the terms:
fx = (-39 + 10x + x2)(41 + 25x + x2)

Multiply (-39 + 10x + x2) * (41 + 25x + x2)
fx = (-39(41 + 25x + x2) + 10x * (41 + 25x + x2) + x2(41 + 25x + x2))
fx = ((41 * -39 + 25x * -39 + x2 * -39) + 10x * (41 + 25x + x2) + x2(41 + 25x + x2))
fx = ((-1599 + -975x + -39x2) + 10x * (41 + 25x + x2) + x2(41 + 25x + x2))
fx = (-1599 + -975x + -39x2 + (41 * 10x + 25x * 10x + x2 * 10x) + x2(41 + 25x + x2))
fx = (-1599 + -975x + -39x2 + (410x + 250x2 + 10x3) + x2(41 + 25x + x2))
fx = (-1599 + -975x + -39x2 + 410x + 250x2 + 10x3 + (41 * x2 + 25x * x2 + x2 * x2))
fx = (-1599 + -975x + -39x2 + 410x + 250x2 + 10x3 + (41x2 + 25x3 + x4))

Reorder the terms:
fx = (-1599 + -975x + 410x + -39x2 + 250x2 + 41x2 + 10x3 + 25x3 + x4)

Combine like terms: -975x + 410x = -565x
fx = (-1599 + -565x + -39x2 + 250x2 + 41x2 + 10x3 + 25x3 + x4)

Combine like terms: -39x2 + 250x2 = 211x2
fx = (-1599 + -565x + 211x2 + 41x2 + 10x3 + 25x3 + x4)

Combine like terms: 211x2 + 41x2 = 252x2
fx = (-1599 + -565x + 252x2 + 10x3 + 25x3 + x4)

Combine like terms: 10x3 + 25x3 = 35x3
fx = (-1599 + -565x + 252x2 + 35x3 + x4)

Solving
fx = -1599 + -565x + 252x2 + 35x3 + 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 = -1599x-1 + -565 + 252x + 35x2 + x3

Simplifying
f = -1599x-1 + -565 + 252x + 35x2 + x3

Reorder the terms:
f = -565 + -1599x-1 + 252x + 35x2 + x3

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