f(x)=(x^2+25)(x^3+2x^2-15x)

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Solution for f(x)=(x^2+25)(x^3+2x^2-15x) equation:


Simplifying
f(x) = (x2 + 25)(x3 + 2x2 + -15x)

Multiply f * x
fx = (x2 + 25)(x3 + 2x2 + -15x)

Reorder the terms:
fx = (25 + x2)(x3 + 2x2 + -15x)

Reorder the terms:
fx = (25 + x2)(-15x + 2x2 + x3)

Multiply (25 + x2) * (-15x + 2x2 + x3)
fx = (25(-15x + 2x2 + x3) + x2(-15x + 2x2 + x3))
fx = ((-15x * 25 + 2x2 * 25 + x3 * 25) + x2(-15x + 2x2 + x3))
fx = ((-375x + 50x2 + 25x3) + x2(-15x + 2x2 + x3))
fx = (-375x + 50x2 + 25x3 + (-15x * x2 + 2x2 * x2 + x3 * x2))
fx = (-375x + 50x2 + 25x3 + (-15x3 + 2x4 + x5))

Combine like terms: 25x3 + -15x3 = 10x3
fx = (-375x + 50x2 + 10x3 + 2x4 + x5)

Solving
fx = -375x + 50x2 + 10x3 + 2x4 + x5

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -375 + 50x + 10x2 + 2x3 + x4

Simplifying
f = -375 + 50x + 10x2 + 2x3 + x4

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