f(x)=(x+1)(x+3)(x+3)

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


Simplifying
f(x) = (x + 1)(x + 3)(x + 3)

Multiply f * x
fx = (x + 1)(x + 3)(x + 3)

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

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

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

Multiply (1 + x) * (3 + x)
fx = (1(3 + x) + x(3 + x))(3 + x)
fx = ((3 * 1 + x * 1) + x(3 + x))(3 + x)
fx = ((3 + 1x) + x(3 + x))(3 + x)
fx = (3 + 1x + (3 * x + x * x))(3 + x)
fx = (3 + 1x + (3x + x2))(3 + x)

Combine like terms: 1x + 3x = 4x
fx = (3 + 4x + x2)(3 + x)

Multiply (3 + 4x + x2) * (3 + x)
fx = (3(3 + x) + 4x * (3 + x) + x2(3 + x))
fx = ((3 * 3 + x * 3) + 4x * (3 + x) + x2(3 + x))
fx = ((9 + 3x) + 4x * (3 + x) + x2(3 + x))
fx = (9 + 3x + (3 * 4x + x * 4x) + x2(3 + x))
fx = (9 + 3x + (12x + 4x2) + x2(3 + x))
fx = (9 + 3x + 12x + 4x2 + (3 * x2 + x * x2))
fx = (9 + 3x + 12x + 4x2 + (3x2 + x3))

Combine like terms: 3x + 12x = 15x
fx = (9 + 15x + 4x2 + 3x2 + x3)

Combine like terms: 4x2 + 3x2 = 7x2
fx = (9 + 15x + 7x2 + x3)

Solving
fx = 9 + 15x + 7x2 + x3

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 9x-1 + 15 + 7x + x2

Simplifying
f = 9x-1 + 15 + 7x + x2

Reorder the terms:
f = 15 + 9x-1 + 7x + x2

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