x^2+27x-3600=0

Solution for x^2+27x-3600=0 equation:

Simplifying
x2 + 27x + -3600 = 0

Reorder the terms:
-3600 + 27x + x2 = 0

Solving
-3600 + 27x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-75 + -1x)(48 + -1x) = 0

Subproblem 1
Set the factor '(-75 + -1x)' equal to zero and attempt to solve:

Simplifying
-75 + -1x = 0

Solving
-75 + -1x = 0

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

Add '75' to each side of the equation.
-75 + 75 + -1x = 0 + 75

Combine like terms: -75 + 75 = 0
0 + -1x = 0 + 75
-1x = 0 + 75

Combine like terms: 0 + 75 = 75
-1x = 75

Divide each side by '-1'.
x = -75

Simplifying
x = -75
Subproblem 2
Set the factor '(48 + -1x)' equal to zero and attempt to solve:

Simplifying
48 + -1x = 0

Solving
48 + -1x = 0

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

Add '-48' to each side of the equation.
48 + -48 + -1x = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -1x = 0 + -48
-1x = 0 + -48

Combine like terms: 0 + -48 = -48
-1x = -48

Divide each side by '-1'.
x = 48

Simplifying
x = 48
Solution
x = {-75, 48}