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

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


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

Reorder the terms:
f(3 + 2x) = (x + -3)(x + 3)
(3 * f + 2x * f) = (x + -3)(x + 3)
(3f + 2fx) = (x + -3)(x + 3)

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

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

Multiply (-3 + x) * (3 + x)
3f + 2fx = (-3(3 + x) + x(3 + x))
3f + 2fx = ((3 * -3 + x * -3) + x(3 + x))
3f + 2fx = ((-9 + -3x) + x(3 + x))
3f + 2fx = (-9 + -3x + (3 * x + x * x))
3f + 2fx = (-9 + -3x + (3x + x2))

Combine like terms: -3x + 3x = 0
3f + 2fx = (-9 + 0 + x2)
3f + 2fx = (-9 + x2)

Solving
3f + 2fx = -9 + x2

Solving for variable 'f'.

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

Reorder the terms:
9 + 3f + 2fx + -1x2 = -9 + x2 + 9 + -1x2

Reorder the terms:
9 + 3f + 2fx + -1x2 = -9 + 9 + x2 + -1x2

Combine like terms: -9 + 9 = 0
9 + 3f + 2fx + -1x2 = 0 + x2 + -1x2
9 + 3f + 2fx + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9 + 3f + 2fx + -1x2 = 0

The solution to this equation could not be determined.

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