x^2-4x=1085

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

Simplifying
x2 + -4x = 1085

Reorder the terms:
-4x + x2 = 1085

Solving
-4x + x2 = 1085

Solving for variable 'x'.

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

Combine like terms: 1085 + -1085 = 0
-1085 + -4x + x2 = 0

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

Subproblem 1
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
Subproblem 2
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
Solution
x = {-31, 35}