x^2+30x+225=16

Solution for x^2+30x+225=16 equation:

Simplifying
x2 + 30x + 225 = 16

Reorder the terms:
225 + 30x + x2 = 16

Solving
225 + 30x + x2 = 16

Solving for variable 'x'.

Reorder the terms:
225 + -16 + 30x + x2 = 16 + -16

Combine like terms: 225 + -16 = 209
209 + 30x + x2 = 16 + -16

Combine like terms: 16 + -16 = 0
209 + 30x + x2 = 0

Factor a trinomial.
(19 + x)(11 + x) = 0

Subproblem 1
Set the factor '(19 + x)' equal to zero and attempt to solve:

Simplifying
19 + x = 0

Solving
19 + x = 0

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

Add '-19' to each side of the equation.
19 + -19 + x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + x = 0 + -19
x = 0 + -19

Combine like terms: 0 + -19 = -19
x = -19

Simplifying
x = -19
Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

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

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11
Solution
x = {-19, -11}