f(x)=-2(x-3)(x+4)

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Solution for f(x)=-2(x-3)(x+4) equation: 


Simplifying
f(x) = -2(x + -3)(x + 4)

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

Reorder the terms:
fx = -2(-3 + x)(x + 4)

Reorder the terms:
fx = -2(-3 + x)(4 + x)

Multiply (-3 + x) * (4 + x)
fx = -2(-3(4 + x) + x(4 + x))
fx = -2((4 * -3 + x * -3) + x(4 + x))
fx = -2((-12 + -3x) + x(4 + x))
fx = -2(-12 + -3x + (4 * x + x * x))
fx = -2(-12 + -3x + (4x + x2))

Combine like terms: -3x + 4x = 1x
fx = -2(-12 + 1x + x2)
fx = (-12 * -2 + 1x * -2 + x2 * -2)
fx = (24 + -2x + -2x2)

Solving
fx = 24 + -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 = 24x-1 + -2 + -2x

Simplifying
f = 24x-1 + -2 + -2x

Reorder the terms:
f = -2 + 24x-1 + -2x

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