x^2+105x+2700=0

Solution for x^2+105x+2700=0 equation:

Simplifying
x2 + 105x + 2700 = 0

Reorder the terms:
2700 + 105x + x2 = 0

Solving
2700 + 105x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(60 + x)(45 + x) = 0

Subproblem 1
Set the factor '(60 + x)' equal to zero and attempt to solve:

Simplifying
60 + x = 0

Solving
60 + x = 0

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

Add '-60' to each side of the equation.
60 + -60 + x = 0 + -60

Combine like terms: 60 + -60 = 0
0 + x = 0 + -60
x = 0 + -60

Combine like terms: 0 + -60 = -60
x = -60

Simplifying
x = -60
Subproblem 2
Set the factor '(45 + x)' equal to zero and attempt to solve:

Simplifying
45 + x = 0

Solving
45 + x = 0

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

Add '-45' to each side of the equation.
45 + -45 + x = 0 + -45

Combine like terms: 45 + -45 = 0
0 + x = 0 + -45
x = 0 + -45

Combine like terms: 0 + -45 = -45
x = -45

Simplifying
x = -45
Solution
x = {-60, -45}