f(x)=-0.5(x+2)(x-4)

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Solution for f(x)=-0.5(x+2)(x-4) equation:


Simplifying
f(x) = -0.5(x + 2)(x + -4)

Multiply f * x
fx = -0.5(x + 2)(x + -4)

Reorder the terms:
fx = -0.5(2 + x)(x + -4)

Reorder the terms:
fx = -0.5(2 + x)(-4 + x)

Multiply (2 + x) * (-4 + x)
fx = -0.5(2(-4 + x) + x(-4 + x))
fx = -0.5((-4 * 2 + x * 2) + x(-4 + x))
fx = -0.5((-8 + 2x) + x(-4 + x))
fx = -0.5(-8 + 2x + (-4 * x + x * x))
fx = -0.5(-8 + 2x + (-4x + x2))

Combine like terms: 2x + -4x = -2x
fx = -0.5(-8 + -2x + x2)
fx = (-8 * -0.5 + -2x * -0.5 + x2 * -0.5)
fx = (4 + 1x + -0.5x2)

Solving
fx = 4 + 1x + -0.5x2

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Divide each side by 'x'.
f = 4x-1 + 1 + -0.5x

Simplifying
f = 4x-1 + 1 + -0.5x

Reorder the terms:
f = 1 + 4x-1 + -0.5x

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