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 + -1(-3))

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

Reorder the terms:
fx = 2(-2 + x)(x + -1(-3))

Multiply -1 * -3
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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