(3k+5)2-45=0

Solution for (3k+5)2-45=0 equation:

Simplifying
(3k + 5) * 2 + -45 = 0

Reorder the terms:
(5 + 3k) * 2 + -45 = 0

Reorder the terms for easier multiplication:
2(5 + 3k) + -45 = 0
(5 * 2 + 3k * 2) + -45 = 0
(10 + 6k) + -45 = 0

Reorder the terms:
10 + -45 + 6k = 0

Combine like terms: 10 + -45 = -35
-35 + 6k = 0

Solving
-35 + 6k = 0

Solving for variable 'k'.

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

Add '35' to each side of the equation.
-35 + 35 + 6k = 0 + 35

Combine like terms: -35 + 35 = 0
0 + 6k = 0 + 35
6k = 0 + 35

Combine like terms: 0 + 35 = 35
6k = 35

Divide each side by '6'.
k = 5.833333333

Simplifying
k = 5.833333333