f(x)=(x+16)(2x+16)

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Solution for f(x)=(x+16)(2x+16) equation: 


Simplifying
f(x) = (x + 16)(2x + 16)

Multiply f * x
fx = (x + 16)(2x + 16)

Reorder the terms:
fx = (16 + x)(2x + 16)

Reorder the terms:
fx = (16 + x)(16 + 2x)

Multiply (16 + x) * (16 + 2x)
fx = (16(16 + 2x) + x(16 + 2x))
fx = ((16 * 16 + 2x * 16) + x(16 + 2x))
fx = ((256 + 32x) + x(16 + 2x))
fx = (256 + 32x + (16 * x + 2x * x))
fx = (256 + 32x + (16x + 2x2))

Combine like terms: 32x + 16x = 48x
fx = (256 + 48x + 2x2)

Solving
fx = 256 + 48x + 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 = 256x-1 + 48 + 2x

Simplifying
f = 256x-1 + 48 + 2x

Reorder the terms:
f = 48 + 256x-1 + 2x

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