f(x)=2(x-2)(x-3)

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Solution for f(x)=2(x-2)(x-3) equation: 


Simplifying
f(x) = 2(x + -2)(x + -3)

Multiply f * x
fx = 2(x + -2)(x + -3)

Reorder the terms:
fx = 2(-2 + x)(x + -3)

Reorder the terms:
fx = 2(-2 + x)(-3 + x)

Multiply (-2 + x) * (-3 + x)
fx = 2(-2(-3 + x) + x(-3 + x))
fx = 2((-3 * -2 + x * -2) + x(-3 + x))
fx = 2((6 + -2x) + x(-3 + x))
fx = 2(6 + -2x + (-3 * x + x * x))
fx = 2(6 + -2x + (-3x + x2))

Combine like terms: -2x + -3x = -5x
fx = 2(6 + -5x + x2)
fx = (6 * 2 + -5x * 2 + x2 * 2)
fx = (12 + -10x + 2x2)

Solving
fx = 12 + -10x + 2x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 12x-1 + -10 + 2x

Simplifying
f = 12x-1 + -10 + 2x

Reorder the terms:
f = -10 + 12x-1 + 2x

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