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 + -1(-2))(x + -3)

Multiply f * x
fx = 2(x + -1(-2))(x + -3)

Multiply -1 * -2
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 = -1x
fx = 2(-6 + -1x + x2)
fx = (-6 * 2 + -1x * 2 + x2 * 2)
fx = (-12 + -2x + 2x2)

Solving
fx = -12 + -2x + 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 + -2 + 2x

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

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

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