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

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


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

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

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

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

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

Multiply (-5 + x) * (2 + x)
fx = (-5(2 + x) + x(2 + x))(6 + x)
fx = ((2 * -5 + x * -5) + x(2 + x))(6 + x)
fx = ((-10 + -5x) + x(2 + x))(6 + x)
fx = (-10 + -5x + (2 * x + x * x))(6 + x)
fx = (-10 + -5x + (2x + x2))(6 + x)

Combine like terms: -5x + 2x = -3x
fx = (-10 + -3x + x2)(6 + x)

Multiply (-10 + -3x + x2) * (6 + x)
fx = (-10(6 + x) + -3x * (6 + x) + x2(6 + x))
fx = ((6 * -10 + x * -10) + -3x * (6 + x) + x2(6 + x))
fx = ((-60 + -10x) + -3x * (6 + x) + x2(6 + x))
fx = (-60 + -10x + (6 * -3x + x * -3x) + x2(6 + x))
fx = (-60 + -10x + (-18x + -3x2) + x2(6 + x))
fx = (-60 + -10x + -18x + -3x2 + (6 * x2 + x * x2))
fx = (-60 + -10x + -18x + -3x2 + (6x2 + x3))

Combine like terms: -10x + -18x = -28x
fx = (-60 + -28x + -3x2 + 6x2 + x3)

Combine like terms: -3x2 + 6x2 = 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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