6(w-3)2+1=25

Solution for 6(w-3)2+1=25 equation:

Simplifying
6(w + -3) * 2 + 1 = 25

Reorder the terms:
6(-3 + w) * 2 + 1 = 25

Reorder the terms for easier multiplication:
6 * 2(-3 + w) + 1 = 25

Multiply 6 * 2
12(-3 + w) + 1 = 25
(-3 * 12 + w * 12) + 1 = 25
(-36 + 12w) + 1 = 25

Reorder the terms:
-36 + 1 + 12w = 25

Combine like terms: -36 + 1 = -35
-35 + 12w = 25

Solving
-35 + 12w = 25

Solving for variable 'w'.

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

Add '35' to each side of the equation.
-35 + 35 + 12w = 25 + 35

Combine like terms: -35 + 35 = 0
0 + 12w = 25 + 35
12w = 25 + 35

Combine like terms: 25 + 35 = 60
12w = 60

Divide each side by '12'.
w = 5

Simplifying
w = 5