(2m-3)2=27

Solution for (2m-3)2=27 equation:

Simplifying
(2m + -3) * 2 = 27

Reorder the terms:
(-3 + 2m) * 2 = 27

Reorder the terms for easier multiplication:
2(-3 + 2m) = 27
(-3 * 2 + 2m * 2) = 27
(-6 + 4m) = 27

Solving
-6 + 4m = 27

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + 4m = 27 + 6

Combine like terms: -6 + 6 = 0
0 + 4m = 27 + 6
4m = 27 + 6

Combine like terms: 27 + 6 = 33
4m = 33

Divide each side by '4'.
m = 8.25

Simplifying
m = 8.25