f(x)=.5(x+7)(x-3)

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Solution for f(x)=.5(x+7)(x-3) equation: 


Simplifying
f(x) = 0.5(x + 7)(x + -3)

Multiply f * x
fx = 0.5(x + 7)(x + -3)

Reorder the terms:
fx = 0.5(7 + x)(x + -3)

Reorder the terms:
fx = 0.5(7 + x)(-3 + x)

Multiply (7 + x) * (-3 + x)
fx = 0.5(7(-3 + x) + x(-3 + x))
fx = 0.5((-3 * 7 + x * 7) + x(-3 + x))
fx = 0.5((-21 + 7x) + x(-3 + x))
fx = 0.5(-21 + 7x + (-3 * x + x * x))
fx = 0.5(-21 + 7x + (-3x + x2))

Combine like terms: 7x + -3x = 4x
fx = 0.5(-21 + 4x + x2)
fx = (-21 * 0.5 + 4x * 0.5 + x2 * 0.5)
fx = (-10.5 + 2x + 0.5x2)

Solving
fx = -10.5 + 2x + 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 = -10.5x-1 + 2 + 0.5x

Simplifying
f = -10.5x-1 + 2 + 0.5x

Reorder the terms:
f = 2 + -10.5x-1 + 0.5x

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