How do I solve the square root function of 2m-6=3m-14

1. Isolate a square root on the left hand side.

√2m-6=√3m-14

2. Eliminate the radical on the left hand side. Raise both sides to the second power

(√2m-6) 2 = (√3m-14) 2

3. Solve the linear equation : Rearranged equation

m - 8 = 0

Add 8 to both sides

m = 8

A possible solution is:

m = 8

4. Check that the solution is correct : Original equation

√2m-6 = √3m-14

Plug in 8 for m

√2• (8) - 6 = √3• (8) - 14

Simplify

√10 = 3.162

Solution checks!

Solution is:

m = 8

Let's solve your equation step-by-step. 2m - 6 = 3m - 14

Step 1: Subtract 3m from both sides. 2m - 6 - 3m = 3m - 14 - 3m - m - 6 = - 14

Step 2: Add 6 to both sides. - m - 6 + 6 = - 14 + 6 - m = - 8

Step 3: Divide both sides by - 1. - m - 1 = - 8 - 1 m=8

Answer: m = 8