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

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


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

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

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

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

Multiply (2 + x) * (-2 + x)
fx = 3(2(-2 + x) + x(-2 + x))
fx = 3((-2 * 2 + x * 2) + x(-2 + x))
fx = 3((-4 + 2x) + x(-2 + x))
fx = 3(-4 + 2x + (-2 * x + x * x))
fx = 3(-4 + 2x + (-2x + x2))

Combine like terms: 2x + -2x = 0
fx = 3(-4 + 0 + x2)
fx = 3(-4 + x2)
fx = (-4 * 3 + x2 * 3)
fx = (-12 + 3x2)

Solving
fx = -12 + 3x2

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 + 3x

Simplifying
f = -12x-1 + 3x

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