f(x)=(x+3)(x+4)(x+5)2

Solution for f(x)=(x+3)(x+4)(x+5)2 equation:

Simplifying
f(x) = (x + 3)(x + 4)(x + 5) * 2

Multiply f * x
fx = (x + 3)(x + 4)(x + 5) * 2

Reorder the terms:
fx = (3 + x)(x + 4)(x + 5) * 2

Reorder the terms:
fx = (3 + x)(4 + x)(x + 5) * 2

Reorder the terms:
fx = (3 + x)(4 + x)(5 + x) * 2

Reorder the terms for easier multiplication:
fx = 2(3 + x)(4 + x)(5 + x)

Multiply (3 + x) * (4 + x)
fx = 2(3(4 + x) + x(4 + x))(5 + x)
fx = 2((4 * 3 + x * 3) + x(4 + x))(5 + x)
fx = 2((12 + 3x) + x(4 + x))(5 + x)
fx = 2(12 + 3x + (4 * x + x * x))(5 + x)
fx = 2(12 + 3x + (4x + x2))(5 + x)

Combine like terms: 3x + 4x = 7x
fx = 2(12 + 7x + x2)(5 + x)

Multiply (12 + 7x + x2) * (5 + x)
fx = 2(12(5 + x) + 7x * (5 + x) + x2(5 + x))
fx = 2((5 * 12 + x * 12) + 7x * (5 + x) + x2(5 + x))
fx = 2((60 + 12x) + 7x * (5 + x) + x2(5 + x))
fx = 2(60 + 12x + (5 * 7x + x * 7x) + x2(5 + x))
fx = 2(60 + 12x + (35x + 7x2) + x2(5 + x))
fx = 2(60 + 12x + 35x + 7x2 + (5 * x2 + x * x2))
fx = 2(60 + 12x + 35x + 7x2 + (5x2 + x3))

Combine like terms: 12x + 35x = 47x
fx = 2(60 + 47x + 7x2 + 5x2 + x3)

Combine like terms: 7x2 + 5x2 = 12x2
fx = 2(60 + 47x + 12x2 + x3)
fx = (60 * 2 + 47x * 2 + 12x2 * 2 + x3 * 2)
fx = (120 + 94x + 24x2 + 2x3)

Solving
fx = 120 + 94x + 24x2 + 2x3

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 120x-1 + 94 + 24x + 2x2

Simplifying
f = 120x-1 + 94 + 24x + 2x2

Reorder the terms:
f = 94 + 120x-1 + 24x + 2x2