x^2+17x-1750=0

Solution for x^2+17x-1750=0 equation:

Simplifying
x2 + 17x + -1750 = 0

Reorder the terms:
-1750 + 17x + x2 = 0

Solving
-1750 + 17x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '1750' to each side of the equation.
-1750 + 17x + 1750 + x2 = 0 + 1750

Reorder the terms:
-1750 + 1750 + 17x + x2 = 0 + 1750

Combine like terms: -1750 + 1750 = 0
0 + 17x + x2 = 0 + 1750
17x + x2 = 0 + 1750

Combine like terms: 0 + 1750 = 1750
17x + x2 = 1750

The x term is 17x.  Take half its coefficient (8.5).
Square it (72.25) and add it to both sides.

Add '72.25' to each side of the equation.
17x + 72.25 + x2 = 1750 + 72.25

Reorder the terms:
72.25 + 17x + x2 = 1750 + 72.25

Combine like terms: 1750 + 72.25 = 1822.25
72.25 + 17x + x2 = 1822.25

Factor a perfect square on the left side:
(x + 8.5)(x + 8.5) = 1822.25

Calculate the square root of the right side: 42.687820277

Break this problem into two subproblems by setting 
(x + 8.5) equal to 42.687820277 and -42.687820277.

Subproblem 1
x + 8.5 = 42.687820277

Simplifying
x + 8.5 = 42.687820277

Reorder the terms:
8.5 + x = 42.687820277

Solving
8.5 + x = 42.687820277

Solving for variable 'x'.

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

Add '-8.5' to each side of the equation.
8.5 + -8.5 + x = 42.687820277 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + x = 42.687820277 + -8.5
x = 42.687820277 + -8.5

Combine like terms: 42.687820277 + -8.5 = 34.187820277
x = 34.187820277

Simplifying
x = 34.187820277

Subproblem 2
x + 8.5 = -42.687820277

Simplifying
x + 8.5 = -42.687820277

Reorder the terms:
8.5 + x = -42.687820277

Solving
8.5 + x = -42.687820277

Solving for variable 'x'.

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

Add '-8.5' to each side of the equation.
8.5 + -8.5 + x = -42.687820277 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + x = -42.687820277 + -8.5
x = -42.687820277 + -8.5

Combine like terms: -42.687820277 + -8.5 = -51.187820277
x = -51.187820277

Simplifying
x = -51.187820277

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {34.187820277, -51.187820277}