Question
combine like terms for the equation 2x^(2)-7x-13=-10
Answers
GPT-4o mini
To combine like terms in the equation \( 2x^2 - 7x - 13 = -10 \), the first step is to move all terms to one side of the equation.
1. Start by adding 10 to both sides:
\[
2x^2 - 7x - 13 + 10 = 0
\]
2. Combine the constants \(-13 + 10\):
\[
2x^2 - 7x - 3 = 0
\]
Now the equation is simplified and is:
\[
2x^2 - 7x - 3 = 0
\]
If you need to solve this quadratic equation, you can proceed with methods such as factoring, completing the square, or using the quadratic formula. Would you like guidance on solving it?
1. Start by adding 10 to both sides:
\[
2x^2 - 7x - 13 + 10 = 0
\]
2. Combine the constants \(-13 + 10\):
\[
2x^2 - 7x - 3 = 0
\]
Now the equation is simplified and is:
\[
2x^2 - 7x - 3 = 0
\]
If you need to solve this quadratic equation, you can proceed with methods such as factoring, completing the square, or using the quadratic formula. Would you like guidance on solving it?