2x^2-3343434343434343x=1232312312312

Solution for 2x^2-3343434343434343x=1232312312312 equation:

Simplifying
2x2 + -3343434343434343x = 1232312312312

Reorder the terms:
-3343434343434343x + 2x2 = 1232312312312

Solving
-3343434343434343x + 2x2 = 1232312312312

Solving for variable 'x'.

Reorder the terms:
-1232312312312 + -3343434343434343x + 2x2 = 1232312312312 + -1232312312312

Combine like terms: 1232312312312 + -1232312312312 = 0
-1232312312312 + -3343434343434343x + 2x2 = 0

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
-616156156200 + -1671717172000000x + x2 = 0

Move the constant term to the right:

Add '616156156200' to each side of the equation.
-616156156200 + -1671717172000000x + 616156156200 + x2 = 0 + 616156156200

Reorder the terms:
-616156156200 + 616156156200 + -1671717172000000x + x2 = 0 + 616156156200

Combine like terms: -616156156200 + 616156156200 = 0
0 + -1671717172000000x + x2 = 0 + 616156156200
-1671717172000000x + x2 = 0 + 616156156200

Combine like terms: 0 + 616156156200 = 616156156200
-1671717172000000x + x2 = 616156156200

The x term is -1671717172000000x.  Take half its coefficient (-835858586000000).
Square it (698659575800000000000000000000) and add it to both sides.

Add '698659575800000000000000000000' to each side of the equation.
-1671717172000000x + 698659575800000000000000000000 + x2 = 616156156200 + 698659575800000000000000000000

Reorder the terms:
698659575800000000000000000000 + -1671717172000000x + x2 = 616156156200 + 698659575800000000000000000000

Combine like terms: 616156156200 + 698659575800000000000000000000 = 698659575800000000616156156200
698659575800000000000000000000 + -1671717172000000x + x2 = 698659575800000000616156156200

Factor a perfect square on the left side:
(x + -835858586000000)(x + -835858586000000) = 698659575800000000616156156200

Calculate the square root of the right side: 835858586006030.089769348

Break this problem into two subproblems by setting 
(x + -835858586000000) equal to 835858586006030.089769348 and -835858586006030.089769348.

Subproblem 1
x + -835858586000000 = 835858586006030.089769348

Simplifying
x + -835858586000000 = 835858586006030.089769348

Reorder the terms:
-835858586000000 + x = 835858586006030.089769348

Solving
-835858586000000 + x = 835858586006030.089769348

Solving for variable 'x'.

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

Add '835858586000000' to each side of the equation.
-835858586000000 + 835858586000000 + x = 835858586006030.089769348 + 835858586000000

Combine like terms: -835858586000000 + 835858586000000 = 0
0 + x = 835858586006030.089769348 + 835858586000000
x = 835858586006030.089769348 + 835858586000000

Combine like terms: 835858586006030.089769348 + 835858586000000 = 1671717172006030.089769348
x = 1671717172006030.089769348

Simplifying
x = 1671717172006030.089769348

Subproblem 2
x + -835858586000000 = -835858586006030.089769348

Simplifying
x + -835858586000000 = -835858586006030.089769348

Reorder the terms:
-835858586000000 + x = -835858586006030.089769348

Solving
-835858586000000 + x = -835858586006030.089769348

Solving for variable 'x'.

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

Add '835858586000000' to each side of the equation.
-835858586000000 + 835858586000000 + x = -835858586006030.089769348 + 835858586000000

Combine like terms: -835858586000000 + 835858586000000 = 0
0 + x = -835858586006030.089769348 + 835858586000000
x = -835858586006030.089769348 + 835858586000000

Combine like terms: -835858586006030.089769348 + 835858586000000 = -6030.089769348
x = -6030.089769348

Simplifying
x = -6030.089769348

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1671717172006030.089769348, -6030.089769348}