(m%2B3)%3D(m%2B2)(m-2).jpeg "(m+2)(m+3)=(m+2)(m-2)")
Solving the Equation (m+2)(m+3) = (m+2)(m-2)
This equation presents a quadratic equation that we can solve to find the values of m. Here's how we can approach it:
1. Expand the Equation
First, expand both sides of the equation by using the distributive property or FOIL method:
- Left side: (m+2)(m+3) = m² + 5m + 6
- Right side: (m+2)(m-2) = m² - 4
Now, our equation becomes: m² + 5m + 6 = m² - 4
2. Simplify the Equation
Since both sides have an m² term, we can subtract m² from both sides, simplifying the equation:
5m + 6 = -4
3. Isolate the Variable
To isolate 'm', we need to get rid of the constant term (6). Subtract 6 from both sides:
5m = -10
4. Solve for 'm'
Finally, divide both sides by 5 to find the value of 'm':
m = -2
Conclusion
Therefore, the solution to the equation (m+2)(m+3) = (m+2)(m-2) is m = -2.