f(x)=-2(x-3)(x+6)

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Solution for f(x)=-2(x-3)(x+6) equation:


Simplifying
f(x) = -2(x + -3)(x + 6)

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

Reorder the terms:
fx = -2(-3 + x)(x + 6)

Reorder the terms:
fx = -2(-3 + x)(6 + x)

Multiply (-3 + x) * (6 + x)
fx = -2(-3(6 + x) + x(6 + x))
fx = -2((6 * -3 + x * -3) + x(6 + x))
fx = -2((-18 + -3x) + x(6 + x))
fx = -2(-18 + -3x + (6 * x + x * x))
fx = -2(-18 + -3x + (6x + x2))

Combine like terms: -3x + 6x = 3x
fx = -2(-18 + 3x + x2)
fx = (-18 * -2 + 3x * -2 + x2 * -2)
fx = (36 + -6x + -2x2)

Solving
fx = 36 + -6x + -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 = 36x-1 + -6 + -2x

Simplifying
f = 36x-1 + -6 + -2x

Reorder the terms:
f = -6 + 36x-1 + -2x

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