f(x)=4(x+8)(10-x)

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Solution for f(x)=4(x+8)(10-x) equation: 


Simplifying
f(x) = 4(x + 8)(10 + -1x)

Multiply f * x
fx = 4(x + 8)(10 + -1x)

Reorder the terms:
fx = 4(8 + x)(10 + -1x)

Multiply (8 + x) * (10 + -1x)
fx = 4(8(10 + -1x) + x(10 + -1x))
fx = 4((10 * 8 + -1x * 8) + x(10 + -1x))
fx = 4((80 + -8x) + x(10 + -1x))
fx = 4(80 + -8x + (10 * x + -1x * x))
fx = 4(80 + -8x + (10x + -1x2))

Combine like terms: -8x + 10x = 2x
fx = 4(80 + 2x + -1x2)
fx = (80 * 4 + 2x * 4 + -1x2 * 4)
fx = (320 + 8x + -4x2)

Solving
fx = 320 + 8x + -4x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 320x-1 + 8 + -4x

Simplifying
f = 320x-1 + 8 + -4x

Reorder the terms:
f = 8 + 320x-1 + -4x

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