x^2-17x-1410=0

Solution for x^2-17x-1410=0 equation:

Simplifying
x2 + -17x + -1410 = 0

Reorder the terms:
-1410 + -17x + x2 = 0

Solving
-1410 + -17x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-30 + -1x)(47 + -1x) = 0

Subproblem 1
Set the factor '(-30 + -1x)' equal to zero and attempt to solve:

Simplifying
-30 + -1x = 0

Solving
-30 + -1x = 0

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

Add '30' to each side of the equation.
-30 + 30 + -1x = 0 + 30

Combine like terms: -30 + 30 = 0
0 + -1x = 0 + 30
-1x = 0 + 30

Combine like terms: 0 + 30 = 30
-1x = 30

Divide each side by '-1'.
x = -30

Simplifying
x = -30
Subproblem 2
Set the factor '(47 + -1x)' equal to zero and attempt to solve:

Simplifying
47 + -1x = 0

Solving
47 + -1x = 0

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

Add '-47' to each side of the equation.
47 + -47 + -1x = 0 + -47

Combine like terms: 47 + -47 = 0
0 + -1x = 0 + -47
-1x = 0 + -47

Combine like terms: 0 + -47 = -47
-1x = -47

Divide each side by '-1'.
x = 47

Simplifying
x = 47
Solution
x = {-30, 47}