f(x)=((x+4)(x+4))-5(x+4)+9

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Solution for f(x)=((x+4)(x+4))-5(x+4)+9 equation: 


Simplifying
f(x) = ((x + 4)(x + 4)) + -5(x + 4) + 9

Multiply f * x
fx = ((x + 4)(x + 4)) + -5(x + 4) + 9

Reorder the terms:
fx = ((4 + x)(x + 4)) + -5(x + 4) + 9

Reorder the terms:
fx = ((4 + x)(4 + x)) + -5(x + 4) + 9

Multiply (4 + x) * (4 + x)
fx = ((4(4 + x) + x(4 + x))) + -5(x + 4) + 9
fx = (((4 * 4 + x * 4) + x(4 + x))) + -5(x + 4) + 9
fx = (((16 + 4x) + x(4 + x))) + -5(x + 4) + 9
fx = ((16 + 4x + (4 * x + x * x))) + -5(x + 4) + 9
fx = ((16 + 4x + (4x + x2))) + -5(x + 4) + 9

Combine like terms: 4x + 4x = 8x
fx = ((16 + 8x + x2)) + -5(x + 4) + 9
fx = (16 + 8x + x2) + -5(x + 4) + 9

Remove parenthesis around (16 + 8x + x2)
fx = 16 + 8x + x2 + -5(x + 4) + 9

Reorder the terms:
fx = 16 + 8x + x2 + -5(4 + x) + 9
fx = 16 + 8x + x2 + (4 * -5 + x * -5) + 9
fx = 16 + 8x + x2 + (-20 + -5x) + 9

Reorder the terms:
fx = 16 + -20 + 9 + 8x + -5x + x2

Combine like terms: 16 + -20 = -4
fx = -4 + 9 + 8x + -5x + x2

Combine like terms: -4 + 9 = 5
fx = 5 + 8x + -5x + x2

Combine like terms: 8x + -5x = 3x
fx = 5 + 3x + x2

Solving
fx = 5 + 3x + x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 5x-1 + 3 + x

Simplifying
f = 5x-1 + 3 + x

Reorder the terms:
f = 3 + 5x-1 + x

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