To solve this equation, we can start by combining like terms on both sides. On the left side, we have:
3²ˣ - 3ˣ⁺² = 3ˣ - 3
Next, we can subtract 3ˣ from both sides:
3ˣ - 3 - 3ˣ⁺² = 3ˣ - 3 - 3
Simplifying the right side:
-3ˣ⁺² = 0
Finally, we can divide both sides by -3 to find the value of x:
ˣ⁺² = 0
Taking the square root of both sides:
x = ±0
So the solution to the equation is x = 0.