x^2+100x+2304=0

Solution for x^2+100x+2304=0 equation:

Simplifying
x2 + 100x + 2304 = 0

Reorder the terms:
2304 + 100x + x2 = 0

Solving
2304 + 100x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(64 + x)(36 + x) = 0

Subproblem 1
Set the factor '(64 + x)' equal to zero and attempt to solve:

Simplifying
64 + x = 0

Solving
64 + x = 0

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

Add '-64' to each side of the equation.
64 + -64 + x = 0 + -64

Combine like terms: 64 + -64 = 0
0 + x = 0 + -64
x = 0 + -64

Combine like terms: 0 + -64 = -64
x = -64

Simplifying
x = -64
Subproblem 2
Set the factor '(36 + x)' equal to zero and attempt to solve:

Simplifying
36 + x = 0

Solving
36 + x = 0

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

Add '-36' to each side of the equation.
36 + -36 + x = 0 + -36

Combine like terms: 36 + -36 = 0
0 + x = 0 + -36
x = 0 + -36

Combine like terms: 0 + -36 = -36
x = -36

Simplifying
x = -36
Solution
x = {-64, -36}