x^2+5x-6795=

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Solution for x^2+5x-6795= equation: 


Simplifying
x2 + 5x + -6795 = 0

Reorder the terms:
-6795 + 5x + x2 = 0

Solving
-6795 + 5x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '6795' to each side of the equation.
-6795 + 5x + 6795 + x2 = 0 + 6795

Reorder the terms:
-6795 + 6795 + 5x + x2 = 0 + 6795

Combine like terms: -6795 + 6795 = 0
0 + 5x + x2 = 0 + 6795
5x + x2 = 0 + 6795

Combine like terms: 0 + 6795 = 6795
5x + x2 = 6795

The x term is 5x.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5x + 6.25 + x2 = 6795 + 6.25

Reorder the terms:
6.25 + 5x + x2 = 6795 + 6.25

Combine like terms: 6795 + 6.25 = 6801.25
6.25 + 5x + x2 = 6801.25

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 6801.25

Calculate the square root of the right side: 82.469691402

Break this problem into two subproblems by setting 
(x + 2.5) equal to 82.469691402 and -82.469691402.


Subproblem 1
x + 2.5 = 82.469691402

Simplifying
x + 2.5 = 82.469691402

Reorder the terms:
2.5 + x = 82.469691402

Solving
2.5 + x = 82.469691402

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = 82.469691402 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = 82.469691402 + -2.5
x = 82.469691402 + -2.5

Combine like terms: 82.469691402 + -2.5 = 79.969691402
x = 79.969691402

Simplifying
x = 79.969691402


Subproblem 2
x + 2.5 = -82.469691402

Simplifying
x + 2.5 = -82.469691402

Reorder the terms:
2.5 + x = -82.469691402

Solving
2.5 + x = -82.469691402

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = -82.469691402 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = -82.469691402 + -2.5
x = -82.469691402 + -2.5

Combine like terms: -82.469691402 + -2.5 = -84.969691402
x = -84.969691402

Simplifying
x = -84.969691402


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {79.969691402, -84.969691402}

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