x^2+4x-1085=0

Solution for x^2+4x-1085=0 equation:

Simplifying
x2 + 4x + -1085 = 0

Reorder the terms:
-1085 + 4x + x2 = 0

Solving
-1085 + 4x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-35 + -1x)(31 + -1x) = 0

Subproblem 1
Set the factor '(-35 + -1x)' equal to zero and attempt to solve:

Simplifying
-35 + -1x = 0

Solving
-35 + -1x = 0

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

Add '35' to each side of the equation.
-35 + 35 + -1x = 0 + 35

Combine like terms: -35 + 35 = 0
0 + -1x = 0 + 35
-1x = 0 + 35

Combine like terms: 0 + 35 = 35
-1x = 35

Divide each side by '-1'.
x = -35

Simplifying
x = -35
Subproblem 2
Set the factor '(31 + -1x)' equal to zero and attempt to solve:

Simplifying
31 + -1x = 0

Solving
31 + -1x = 0

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

Add '-31' to each side of the equation.
31 + -31 + -1x = 0 + -31

Combine like terms: 31 + -31 = 0
0 + -1x = 0 + -31
-1x = 0 + -31

Combine like terms: 0 + -31 = -31
-1x = -31

Divide each side by '-1'.
x = 31

Simplifying
x = 31
Solution
x = {-35, 31}