f(x)=(x^2+2)(3x-1)

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Solution for f(x)=(x^2+2)(3x-1) equation:


Simplifying
f(x) = (x2 + 2)(3x + -1)

Multiply f * x
fx = (x2 + 2)(3x + -1)

Reorder the terms:
fx = (2 + x2)(3x + -1)

Reorder the terms:
fx = (2 + x2)(-1 + 3x)

Multiply (2 + x2) * (-1 + 3x)
fx = (2(-1 + 3x) + x2(-1 + 3x))
fx = ((-1 * 2 + 3x * 2) + x2(-1 + 3x))
fx = ((-2 + 6x) + x2(-1 + 3x))
fx = (-2 + 6x + (-1 * x2 + 3x * x2))
fx = (-2 + 6x + (-1x2 + 3x3))
fx = (-2 + 6x + -1x2 + 3x3)

Solving
fx = -2 + 6x + -1x2 + 3x3

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -2x-1 + 6 + -1x + 3x2

Simplifying
f = -2x-1 + 6 + -1x + 3x2

Reorder the terms:
f = 6 + -2x-1 + -1x + 3x2

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