x^2+8x-1505=0

Solution for x^2+8x-1505=0 equation:

Simplifying
x2 + 8x + -1505 = 0

Reorder the terms:
-1505 + 8x + x2 = 0

Solving
-1505 + 8x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-43 + -1x)(35 + -1x) = 0

Subproblem 1
Set the factor '(-43 + -1x)' equal to zero and attempt to solve:

Simplifying
-43 + -1x = 0

Solving
-43 + -1x = 0

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

Add '43' to each side of the equation.
-43 + 43 + -1x = 0 + 43

Combine like terms: -43 + 43 = 0
0 + -1x = 0 + 43
-1x = 0 + 43

Combine like terms: 0 + 43 = 43
-1x = 43

Divide each side by '-1'.
x = -43

Simplifying
x = -43
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 = {-43, 35}