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

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


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

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

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

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

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

Combine like terms: -3x + -2x = -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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