x^2-30x-9775=0

Solution for x^2-30x-9775=0 equation:

Simplifying
x2 + -30x + -9775 = 0

Reorder the terms:
-9775 + -30x + x2 = 0

Solving
-9775 + -30x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-85 + -1x)(115 + -1x) = 0

Subproblem 1
Set the factor '(-85 + -1x)' equal to zero and attempt to solve:

Simplifying
-85 + -1x = 0

Solving
-85 + -1x = 0

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

Add '85' to each side of the equation.
-85 + 85 + -1x = 0 + 85

Combine like terms: -85 + 85 = 0
0 + -1x = 0 + 85
-1x = 0 + 85

Combine like terms: 0 + 85 = 85
-1x = 85

Divide each side by '-1'.
x = -85

Simplifying
x = -85
Subproblem 2
Set the factor '(115 + -1x)' equal to zero and attempt to solve:

Simplifying
115 + -1x = 0

Solving
115 + -1x = 0

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

Add '-115' to each side of the equation.
115 + -115 + -1x = 0 + -115

Combine like terms: 115 + -115 = 0
0 + -1x = 0 + -115
-1x = 0 + -115

Combine like terms: 0 + -115 = -115
-1x = -115

Divide each side by '-1'.
x = 115

Simplifying
x = 115
Solution
x = {-85, 115}