answer:
To solve the equation q^2 - 3q = 3q(q - 1) - 2q^2 + 3, let's simplify and rearrange the terms step-by-step:
1. Distribute on the right side:
3q(q - 1) - 2q^2 + 3 becomes 3q^2 - 3q - 2q^2 + 3.
2. Combine like terms:
3q^2 - 2q^2 - 3q - 3q + 3 = q^2 - 6q + 3.
3. Now, our equation becomes:
q^2 - 3q = q^2 - 6q + 3.
4. Subtract q^2 from both sides of the equation to get:
-3q = -6q + 3.
5. Add 6q to both sides of the equation to get:
3q = 3.
6. Finally, divide both sides of the equation by 3 to find the value of q:
q = 1.
Therefore, the solution to the equation q^2 - 3q = 3q(q - 1) - 2q^2 + 3 is q = 1.
alli ,3