x^2-1044x-3150=0

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Solution for x^2-1044x-3150=0 equation: 


Simplifying
x2 + -1044x + -3150 = 0

Reorder the terms:
-3150 + -1044x + x2 = 0

Solving
-3150 + -1044x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '3150' to each side of the equation.
-3150 + -1044x + 3150 + x2 = 0 + 3150

Reorder the terms:
-3150 + 3150 + -1044x + x2 = 0 + 3150

Combine like terms: -3150 + 3150 = 0
0 + -1044x + x2 = 0 + 3150
-1044x + x2 = 0 + 3150

Combine like terms: 0 + 3150 = 3150
-1044x + x2 = 3150

The x term is -1044x.  Take half its coefficient (-522).
Square it (272484) and add it to both sides.

Add '272484' to each side of the equation.
-1044x + 272484 + x2 = 3150 + 272484

Reorder the terms:
272484 + -1044x + x2 = 3150 + 272484

Combine like terms: 3150 + 272484 = 275634
272484 + -1044x + x2 = 275634

Factor a perfect square on the left side:
(x + -522)(x + -522) = 275634

Calculate the square root of the right side: 525.008571359

Break this problem into two subproblems by setting 
(x + -522) equal to 525.008571359 and -525.008571359.


Subproblem 1
x + -522 = 525.008571359

Simplifying
x + -522 = 525.008571359

Reorder the terms:
-522 + x = 525.008571359

Solving
-522 + x = 525.008571359

Solving for variable 'x'.

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

Add '522' to each side of the equation.
-522 + 522 + x = 525.008571359 + 522

Combine like terms: -522 + 522 = 0
0 + x = 525.008571359 + 522
x = 525.008571359 + 522

Combine like terms: 525.008571359 + 522 = 1047.008571359
x = 1047.008571359

Simplifying
x = 1047.008571359


Subproblem 2
x + -522 = -525.008571359

Simplifying
x + -522 = -525.008571359

Reorder the terms:
-522 + x = -525.008571359

Solving
-522 + x = -525.008571359

Solving for variable 'x'.

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

Add '522' to each side of the equation.
-522 + 522 + x = -525.008571359 + 522

Combine like terms: -522 + 522 = 0
0 + x = -525.008571359 + 522
x = -525.008571359 + 522

Combine like terms: -525.008571359 + 522 = -3.008571359
x = -3.008571359

Simplifying
x = -3.008571359


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1047.008571359, -3.008571359}

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