x^2-15x-3250=0

Solution for x^2-15x-3250=0 equation:

Simplifying
x2 + -15x + -3250 = 0

Reorder the terms:
-3250 + -15x + x2 = 0

Solving
-3250 + -15x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-50 + -1x)(65 + -1x) = 0

Subproblem 1
Set the factor '(-50 + -1x)' equal to zero and attempt to solve:

Simplifying
-50 + -1x = 0

Solving
-50 + -1x = 0

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

Add '50' to each side of the equation.
-50 + 50 + -1x = 0 + 50

Combine like terms: -50 + 50 = 0
0 + -1x = 0 + 50
-1x = 0 + 50

Combine like terms: 0 + 50 = 50
-1x = 50

Divide each side by '-1'.
x = -50

Simplifying
x = -50
Subproblem 2
Set the factor '(65 + -1x)' equal to zero and attempt to solve:

Simplifying
65 + -1x = 0

Solving
65 + -1x = 0

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

Add '-65' to each side of the equation.
65 + -65 + -1x = 0 + -65

Combine like terms: 65 + -65 = 0
0 + -1x = 0 + -65
-1x = 0 + -65

Combine like terms: 0 + -65 = -65
-1x = -65

Divide each side by '-1'.
x = 65

Simplifying
x = 65
Solution
x = {-50, 65}