f(x)=(x+2)(x-2)(x-9)

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Solution for f(x)=(x+2)(x-2)(x-9) equation:


Simplifying
f(x) = (x + 2)(x + -2)(x + -9)

Multiply f * x
fx = (x + 2)(x + -2)(x + -9)

Reorder the terms:
fx = (2 + x)(x + -2)(x + -9)

Reorder the terms:
fx = (2 + x)(-2 + x)(x + -9)

Reorder the terms:
fx = (2 + x)(-2 + x)(-9 + x)

Multiply (2 + x) * (-2 + x)
fx = (2(-2 + x) + x(-2 + x))(-9 + x)
fx = ((-2 * 2 + x * 2) + x(-2 + x))(-9 + x)
fx = ((-4 + 2x) + x(-2 + x))(-9 + x)
fx = (-4 + 2x + (-2 * x + x * x))(-9 + x)
fx = (-4 + 2x + (-2x + x2))(-9 + x)

Combine like terms: 2x + -2x = 0
fx = (-4 + 0 + x2)(-9 + x)
fx = (-4 + x2)(-9 + x)

Multiply (-4 + x2) * (-9 + x)
fx = (-4(-9 + x) + x2(-9 + x))
fx = ((-9 * -4 + x * -4) + x2(-9 + x))
fx = ((36 + -4x) + x2(-9 + x))
fx = (36 + -4x + (-9 * x2 + x * x2))
fx = (36 + -4x + (-9x2 + x3))
fx = (36 + -4x + -9x2 + x3)

Solving
fx = 36 + -4x + -9x2 + 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 = 36x-1 + -4 + -9x + x2

Simplifying
f = 36x-1 + -4 + -9x + x2

Reorder the terms:
f = -4 + 36x-1 + -9x + x2

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