x^2+52000x-2600.25=0

Simple and best practice solution for x^2+52000x-2600.25=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for x^2+52000x-2600.25=0 equation: 


Simplifying
x2 + 52000x + -2600.25 = 0

Reorder the terms:
-2600.25 + 52000x + x2 = 0

Solving
-2600.25 + 52000x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '2600.25' to each side of the equation.
-2600.25 + 52000x + 2600.25 + x2 = 0 + 2600.25

Reorder the terms:
-2600.25 + 2600.25 + 52000x + x2 = 0 + 2600.25

Combine like terms: -2600.25 + 2600.25 = 0.00
0.00 + 52000x + x2 = 0 + 2600.25
52000x + x2 = 0 + 2600.25

Combine like terms: 0 + 2600.25 = 2600.25
52000x + x2 = 2600.25

The x term is 52000x.  Take half its coefficient (26000).
Square it (676000000) and add it to both sides.

Add '676000000' to each side of the equation.
52000x + 676000000 + x2 = 2600.25 + 676000000

Reorder the terms:
676000000 + 52000x + x2 = 2600.25 + 676000000

Combine like terms: 2600.25 + 676000000 = 676002600.25
676000000 + 52000x + x2 = 676002600.25

Factor a perfect square on the left side:
(x + 26000)(x + 26000) = 676002600.25

Calculate the square root of the right side: 26000.05000476

Break this problem into two subproblems by setting 
(x + 26000) equal to 26000.05000476 and -26000.05000476.


Subproblem 1
x + 26000 = 26000.05000476

Simplifying
x + 26000 = 26000.05000476

Reorder the terms:
26000 + x = 26000.05000476

Solving
26000 + x = 26000.05000476

Solving for variable 'x'.

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

Add '-26000' to each side of the equation.
26000 + -26000 + x = 26000.05000476 + -26000

Combine like terms: 26000 + -26000 = 0
0 + x = 26000.05000476 + -26000
x = 26000.05000476 + -26000

Combine like terms: 26000.05000476 + -26000 = 0.05000476
x = 0.05000476

Simplifying
x = 0.05000476


Subproblem 2
x + 26000 = -26000.05000476

Simplifying
x + 26000 = -26000.05000476

Reorder the terms:
26000 + x = -26000.05000476

Solving
26000 + x = -26000.05000476

Solving for variable 'x'.

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

Add '-26000' to each side of the equation.
26000 + -26000 + x = -26000.05000476 + -26000

Combine like terms: 26000 + -26000 = 0
0 + x = -26000.05000476 + -26000
x = -26000.05000476 + -26000

Combine like terms: -26000.05000476 + -26000 = -52000.05000476
x = -52000.05000476

Simplifying
x = -52000.05000476


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.05000476, -52000.05000476}

See similar equations:

| 1/3*5/9 | | 10x=(5x+20)/3 | | 5x+12y=8 | | x^2=8(y+2) | | 6m-9=16 | | 3x+3(-x+6)=18 | | -39.72=7.5m | | y+7/2=y+5/1,6 | | t+5-2=16 | | a+4+5=13 | | 8x-3=9x-7 | | 4(x+24)=(-4)(x-24) | | 2(x-4)=(-4)x+34 | | 5(x-3)=(-2)x+41 | | (2/3)x+1/9=(1/3x) | | -1/x=-1/2y | | 3(x+4)+23=(-4)x | | 7(2t+9)= | | 3(x+18)=(-3)(x-6) | | -3-(x-7)=2(3x-15) | | 3k=-2(7+2k) | | 4(3+c)+c=c+4 | | 2-16t=6(-3t+2) | | 3-2(9+2m)=m | | 2(x-3)-(x-1)=3+5(x+2) | | 1-2x/2x=0 | | 1+2x*-1/2x=0 | | 10+c=d | | 1+2yx=0 | | 2+2yx=0 | | 1.35X=2.35X | | x^2+52000x-25919.5=0 |

Equations solver categories