(m+2)(m+3)=(m+2)(m-2) what is the answer please 

The first time you look at this, you would think that you can just cancel the
(m+2) off of each side. But then you're left with  (m+3) = (m-2), and there's
no solution for this.  So you have to go back and do it the hard way.

Expand each side of the equation. (Clear the parentheses.)

m² + 5m + 6 = m² - 4

Subtract m² from each side:

5m + 6 = -4

Subtract 6 from each side:

5m = -10

Divide each side by 5:

m = -2

vertex ( 2 , -5).

Step-by-step explanation:

Given : g(x) = 3x² - 12x + 7.

To find : What is the vertex.

Solution: We have given

g(x) = 3x² - 12x + 7.

Step 1 : Standard form of quadratic equation y = ax² + bx + c.

x coordinate =

Where, b = -12 , a = 3

x coordinate = .

x coordinate =

x coordinate = 2

Now plug the x = 2 in equation 3x² - 12x + 7 to find y coordinate

3(2)² - 12(2) + 7.

3(4) - 24 + 7.

12 -24 + 7

- 12 + 7

y = -5.

Then vertex ( 2 , -5).

Therefore, vertex ( 2 , -5).