(2a-3)2=162

Solution for (2a-3)2=162 equation:

Simplifying
(2a + -3) * 2 = 162

Reorder the terms:
(-3 + 2a) * 2 = 162

Reorder the terms for easier multiplication:
2(-3 + 2a) = 162
(-3 * 2 + 2a * 2) = 162
(-6 + 4a) = 162

Solving
-6 + 4a = 162

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + 6 + 4a = 162 + 6

Combine like terms: -6 + 6 = 0
0 + 4a = 162 + 6
4a = 162 + 6

Combine like terms: 162 + 6 = 168
4a = 168

Divide each side by '4'.
a = 42

Simplifying
a = 42