f(x)=((x+4)(x+4))2-5(x+4)+9

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Solution for f(x)=((x+4)(x+4))2-5(x+4)+9 equation: 


Simplifying
f(x) = ((x + 4)(x + 4)) * 2 + -5(x + 4) + 9

Multiply f * x
fx = ((x + 4)(x + 4)) * 2 + -5(x + 4) + 9

Reorder the terms:
fx = ((4 + x)(x + 4)) * 2 + -5(x + 4) + 9

Reorder the terms:
fx = ((4 + x)(4 + x)) * 2 + -5(x + 4) + 9

Multiply (4 + x) * (4 + x)
fx = ((4(4 + x) + x(4 + x))) * 2 + -5(x + 4) + 9
fx = (((4 * 4 + x * 4) + x(4 + x))) * 2 + -5(x + 4) + 9
fx = (((16 + 4x) + x(4 + x))) * 2 + -5(x + 4) + 9
fx = ((16 + 4x + (4 * x + x * x))) * 2 + -5(x + 4) + 9
fx = ((16 + 4x + (4x + x2))) * 2 + -5(x + 4) + 9

Combine like terms: 4x + 4x = 8x
fx = ((16 + 8x + x2)) * 2 + -5(x + 4) + 9

Reorder the terms for easier multiplication:
fx = 2(16 + 8x + x2) + -5(x + 4) + 9
fx = (16 * 2 + 8x * 2 + x2 * 2) + -5(x + 4) + 9
fx = (32 + 16x + 2x2) + -5(x + 4) + 9

Reorder the terms:
fx = 32 + 16x + 2x2 + -5(4 + x) + 9
fx = 32 + 16x + 2x2 + (4 * -5 + x * -5) + 9
fx = 32 + 16x + 2x2 + (-20 + -5x) + 9

Reorder the terms:
fx = 32 + -20 + 9 + 16x + -5x + 2x2

Combine like terms: 32 + -20 = 12
fx = 12 + 9 + 16x + -5x + 2x2

Combine like terms: 12 + 9 = 21
fx = 21 + 16x + -5x + 2x2

Combine like terms: 16x + -5x = 11x
fx = 21 + 11x + 2x2

Solving
fx = 21 + 11x + 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 = 21x-1 + 11 + 2x

Simplifying
f = 21x-1 + 11 + 2x

Reorder the terms:
f = 11 + 21x-1 + 2x

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