(f-g-3)(f+g+3)=

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Solution for (f-g-3)(f+g+3)= equation: 


Simplifying
(f + -1g + -3)(f + g + 3) = 0

Reorder the terms:
(-3 + f + -1g)(f + g + 3) = 0

Reorder the terms:
(-3 + f + -1g)(3 + f + g) = 0

Multiply (-3 + f + -1g) * (3 + f + g)
(-3(3 + f + g) + f(3 + f + g) + -1g * (3 + f + g)) = 0
((3 * -3 + f * -3 + g * -3) + f(3 + f + g) + -1g * (3 + f + g)) = 0
((-9 + -3f + -3g) + f(3 + f + g) + -1g * (3 + f + g)) = 0
(-9 + -3f + -3g + (3 * f + f * f + g * f) + -1g * (3 + f + g)) = 0

Reorder the terms:
(-9 + -3f + -3g + (3f + fg + f2) + -1g * (3 + f + g)) = 0
(-9 + -3f + -3g + (3f + fg + f2) + -1g * (3 + f + g)) = 0
(-9 + -3f + -3g + 3f + fg + f2 + (3 * -1g + f * -1g + g * -1g)) = 0

Reorder the terms:
(-9 + -3f + -3g + 3f + fg + f2 + (-1fg + -3g + -1g2)) = 0
(-9 + -3f + -3g + 3f + fg + f2 + (-1fg + -3g + -1g2)) = 0

Reorder the terms:
(-9 + -3f + 3f + fg + -1fg + f2 + -3g + -3g + -1g2) = 0

Combine like terms: -3f + 3f = 0
(-9 + 0 + fg + -1fg + f2 + -3g + -3g + -1g2) = 0
(-9 + fg + -1fg + f2 + -3g + -3g + -1g2) = 0

Combine like terms: fg + -1fg = 0
(-9 + 0 + f2 + -3g + -3g + -1g2) = 0
(-9 + f2 + -3g + -3g + -1g2) = 0

Combine like terms: -3g + -3g = -6g
(-9 + f2 + -6g + -1g2) = 0

Solving
-9 + f2 + -6g + -1g2 = 0

Solving for variable 'f'.

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

Add '9' to each side of the equation.
-9 + f2 + -6g + 9 + -1g2 = 0 + 9

Reorder the terms:
-9 + 9 + f2 + -6g + -1g2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + f2 + -6g + -1g2 = 0 + 9
f2 + -6g + -1g2 = 0 + 9

Combine like terms: 0 + 9 = 9
f2 + -6g + -1g2 = 9

Add '6g' to each side of the equation.
f2 + -6g + 6g + -1g2 = 9 + 6g

Combine like terms: -6g + 6g = 0
f2 + 0 + -1g2 = 9 + 6g
f2 + -1g2 = 9 + 6g

Add 'g2' to each side of the equation.
f2 + -1g2 + g2 = 9 + 6g + g2

Combine like terms: -1g2 + g2 = 0
f2 + 0 = 9 + 6g + g2
f2 = 9 + 6g + g2

Simplifying
f2 = 9 + 6g + g2

Reorder the terms:
-9 + f2 + -6g + -1g2 = 9 + 6g + g2 + -9 + -6g + -1g2

Reorder the terms:
-9 + f2 + -6g + -1g2 = 9 + -9 + 6g + -6g + g2 + -1g2

Combine like terms: 9 + -9 = 0
-9 + f2 + -6g + -1g2 = 0 + 6g + -6g + g2 + -1g2
-9 + f2 + -6g + -1g2 = 6g + -6g + g2 + -1g2

Combine like terms: 6g + -6g = 0
-9 + f2 + -6g + -1g2 = 0 + g2 + -1g2
-9 + f2 + -6g + -1g2 = g2 + -1g2

Combine like terms: g2 + -1g2 = 0
-9 + f2 + -6g + -1g2 = 0

The solution to this equation could not be determined.

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