f(x)=(x+2)(x+1)(x-5)

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Solution for f(x)=(x+2)(x+1)(x-5) equation:


Simplifying
f(x) = (x + 2)(x + 1)(x + -5)

Multiply f * x
fx = (x + 2)(x + 1)(x + -5)

Reorder the terms:
fx = (2 + x)(x + 1)(x + -5)

Reorder the terms:
fx = (2 + x)(1 + x)(x + -5)

Reorder the terms:
fx = (2 + x)(1 + x)(-5 + x)

Multiply (2 + x) * (1 + x)
fx = (2(1 + x) + x(1 + x))(-5 + x)
fx = ((1 * 2 + x * 2) + x(1 + x))(-5 + x)
fx = ((2 + 2x) + x(1 + x))(-5 + x)
fx = (2 + 2x + (1 * x + x * x))(-5 + x)
fx = (2 + 2x + (1x + x2))(-5 + x)

Combine like terms: 2x + 1x = 3x
fx = (2 + 3x + x2)(-5 + x)

Multiply (2 + 3x + x2) * (-5 + x)
fx = (2(-5 + x) + 3x * (-5 + x) + x2(-5 + x))
fx = ((-5 * 2 + x * 2) + 3x * (-5 + x) + x2(-5 + x))
fx = ((-10 + 2x) + 3x * (-5 + x) + x2(-5 + x))
fx = (-10 + 2x + (-5 * 3x + x * 3x) + x2(-5 + x))
fx = (-10 + 2x + (-15x + 3x2) + x2(-5 + x))
fx = (-10 + 2x + -15x + 3x2 + (-5 * x2 + x * x2))
fx = (-10 + 2x + -15x + 3x2 + (-5x2 + x3))

Combine like terms: 2x + -15x = -13x
fx = (-10 + -13x + 3x2 + -5x2 + x3)

Combine like terms: 3x2 + -5x2 = -2x2
fx = (-10 + -13x + -2x2 + x3)

Solving
fx = -10 + -13x + -2x2 + 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 = -10x-1 + -13 + -2x + x2

Simplifying
f = -10x-1 + -13 + -2x + x2

Reorder the terms:
f = -13 + -10x-1 + -2x + x2

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