f(x)=(6x+5)(x^3-2)

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Solution for f(x)=(6x+5)(x^3-2) equation: 


Simplifying
f(x) = (6x + 5)(x3 + -2)

Multiply f * x
fx = (6x + 5)(x3 + -2)

Reorder the terms:
fx = (5 + 6x)(x3 + -2)

Reorder the terms:
fx = (5 + 6x)(-2 + x3)

Multiply (5 + 6x) * (-2 + x3)
fx = (5(-2 + x3) + 6x * (-2 + x3))
fx = ((-2 * 5 + x3 * 5) + 6x * (-2 + x3))
fx = ((-10 + 5x3) + 6x * (-2 + x3))
fx = (-10 + 5x3 + (-2 * 6x + x3 * 6x))
fx = (-10 + 5x3 + (-12x + 6x4))

Reorder the terms:
fx = (-10 + -12x + 5x3 + 6x4)
fx = (-10 + -12x + 5x3 + 6x4)

Solving
fx = -10 + -12x + 5x3 + 6x4

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -10x-1 + -12 + 5x2 + 6x3

Simplifying
f = -10x-1 + -12 + 5x2 + 6x3

Reorder the terms:
f = -12 + -10x-1 + 5x2 + 6x3

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