f(2)=((2x+3)(3x+6))

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Solution for f(2)=((2x+3)(3x+6)) equation:


Simplifying
f(2) = ((2x + 3)(3x + 6))

Reorder the terms for easier multiplication:
2f = ((2x + 3)(3x + 6))

Reorder the terms:
2f = ((3 + 2x)(3x + 6))

Reorder the terms:
2f = ((3 + 2x)(6 + 3x))

Multiply (3 + 2x) * (6 + 3x)
2f = ((3(6 + 3x) + 2x * (6 + 3x)))
2f = (((6 * 3 + 3x * 3) + 2x * (6 + 3x)))
2f = (((18 + 9x) + 2x * (6 + 3x)))
2f = ((18 + 9x + (6 * 2x + 3x * 2x)))
2f = ((18 + 9x + (12x + 6x2)))

Combine like terms: 9x + 12x = 21x
2f = ((18 + 21x + 6x2))
2f = (18 + 21x + 6x2)

Remove parenthesis around (18 + 21x + 6x2)
2f = 18 + 21x + 6x2

Solving
2f = 18 + 21x + 6x2

Solving for variable 'f'.

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

Divide each side by '2'.
f = 9 + 10.5x + 3x2

Simplifying
f = 9 + 10.5x + 3x2

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