(x*x)+16x+60=0

Solution for (x*x)+16x+60=0 equation:

Simplifying
(x * x) + 16x + 60 = 0

Multiply x * x
(x2) + 16x + 60 = 0
x2 + 16x + 60 = 0

Reorder the terms:
60 + 16x + x2 = 0

Solving
60 + 16x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(10 + x)(6 + x) = 0

Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

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

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Solution
x = {-10, -6}