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

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


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

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

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

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

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

Multiply (-5 + x) * (6 + x)
fx = (-5(6 + x) + x(6 + x))(2 + x)
fx = ((6 * -5 + x * -5) + x(6 + x))(2 + x)
fx = ((-30 + -5x) + x(6 + x))(2 + x)
fx = (-30 + -5x + (6 * x + x * x))(2 + x)
fx = (-30 + -5x + (6x + x2))(2 + x)

Combine like terms: -5x + 6x = 1x
fx = (-30 + 1x + x2)(2 + x)

Multiply (-30 + 1x + x2) * (2 + x)
fx = (-30(2 + x) + 1x * (2 + x) + x2(2 + x))
fx = ((2 * -30 + x * -30) + 1x * (2 + x) + x2(2 + x))
fx = ((-60 + -30x) + 1x * (2 + x) + x2(2 + x))
fx = (-60 + -30x + (2 * 1x + x * 1x) + x2(2 + x))
fx = (-60 + -30x + (2x + 1x2) + x2(2 + x))
fx = (-60 + -30x + 2x + 1x2 + (2 * x2 + x * x2))
fx = (-60 + -30x + 2x + 1x2 + (2x2 + x3))

Combine like terms: -30x + 2x = -28x
fx = (-60 + -28x + 1x2 + 2x2 + x3)

Combine like terms: 1x2 + 2x2 = 3x2
fx = (-60 + -28x + 3x2 + x3)

Solving
fx = -60 + -28x + 3x2 + 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 = -60x-1 + -28 + 3x + x2

Simplifying
f = -60x-1 + -28 + 3x + x2

Reorder the terms:
f = -28 + -60x-1 + 3x + x2

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