(u+3)2=2u+11u+15

Solution for (u+3)2=2u+11u+15 equation:

Simplifying
(u + 3) * 2 = 2u + 11u + 15

Reorder the terms:
(3 + u) * 2 = 2u + 11u + 15

Reorder the terms for easier multiplication:
2(3 + u) = 2u + 11u + 15
(3 * 2 + u * 2) = 2u + 11u + 15
(6 + 2u) = 2u + 11u + 15

Reorder the terms:
6 + 2u = 15 + 2u + 11u

Combine like terms: 2u + 11u = 13u
6 + 2u = 15 + 13u

Solving
6 + 2u = 15 + 13u

Solving for variable 'u'.

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

Add '-13u' to each side of the equation.
6 + 2u + -13u = 15 + 13u + -13u

Combine like terms: 2u + -13u = -11u
6 + -11u = 15 + 13u + -13u

Combine like terms: 13u + -13u = 0
6 + -11u = 15 + 0
6 + -11u = 15

Add '-6' to each side of the equation.
6 + -6 + -11u = 15 + -6

Combine like terms: 6 + -6 = 0
0 + -11u = 15 + -6
-11u = 15 + -6

Combine like terms: 15 + -6 = 9
-11u = 9

Divide each side by '-11'.
u = -0.8181818182

Simplifying
u = -0.8181818182