x^2+1000000x-10000000=0

Simple and best practice solution for x^2+1000000x-10000000=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+1000000x-10000000=0 equation: 


Simplifying
x2 + 1000000x + -10000000 = 0

Reorder the terms:
-10000000 + 1000000x + x2 = 0

Solving
-10000000 + 1000000x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '10000000' to each side of the equation.
-10000000 + 1000000x + 10000000 + x2 = 0 + 10000000

Reorder the terms:
-10000000 + 10000000 + 1000000x + x2 = 0 + 10000000

Combine like terms: -10000000 + 10000000 = 0
0 + 1000000x + x2 = 0 + 10000000
1000000x + x2 = 0 + 10000000

Combine like terms: 0 + 10000000 = 10000000
1000000x + x2 = 10000000

The x term is 1000000x.  Take half its coefficient (500000).
Square it (250000000000) and add it to both sides.

Add '250000000000' to each side of the equation.
1000000x + 250000000000 + x2 = 10000000 + 250000000000

Reorder the terms:
250000000000 + 1000000x + x2 = 10000000 + 250000000000

Combine like terms: 10000000 + 250000000000 = 250010000000
250000000000 + 1000000x + x2 = 250010000000

Factor a perfect square on the left side:
(x + 500000)(x + 500000) = 250010000000

Calculate the square root of the right side: 500009.999900002

Break this problem into two subproblems by setting 
(x + 500000) equal to 500009.999900002 and -500009.999900002.


Subproblem 1
x + 500000 = 500009.999900002

Simplifying
x + 500000 = 500009.999900002

Reorder the terms:
500000 + x = 500009.999900002

Solving
500000 + x = 500009.999900002

Solving for variable 'x'.

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

Add '-500000' to each side of the equation.
500000 + -500000 + x = 500009.999900002 + -500000

Combine like terms: 500000 + -500000 = 0
0 + x = 500009.999900002 + -500000
x = 500009.999900002 + -500000

Combine like terms: 500009.999900002 + -500000 = 9.999900002
x = 9.999900002

Simplifying
x = 9.999900002


Subproblem 2
x + 500000 = -500009.999900002

Simplifying
x + 500000 = -500009.999900002

Reorder the terms:
500000 + x = -500009.999900002

Solving
500000 + x = -500009.999900002

Solving for variable 'x'.

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

Add '-500000' to each side of the equation.
500000 + -500000 + x = -500009.999900002 + -500000

Combine like terms: 500000 + -500000 = 0
0 + x = -500009.999900002 + -500000
x = -500009.999900002 + -500000

Combine like terms: -500009.999900002 + -500000 = -1000009.999900002
x = -1000009.999900002

Simplifying
x = -1000009.999900002


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {9.999900002, -1000009.999900002}

See similar equations:

| 8y-2=4y+13 | | 20x^2+20x+100=0 | | 4d^6+1= | | 9x*x=27x | | 8-9/7x=9 | | -191=-5(5x+7)-x | | 5x+10(x+4)+25(x+9)=465 | | -.5x+8=0 | | 8p*p-4p=0 | | 3x-7(7-x)=16 | | 8x-2(3-x)=9 | | 3y=4x^2-8x+3 | | 8x-6y=x+3y | | 11(-1+1)+4(7+1)=-6+4 | | 3t-(t+3)=5 | | In(x+3)+In(x-3)=0 | | 2=2w-16 | | u/15 | | 2(y-4)=3(y-5) | | -1/4t=4 | | 39-7x=2x | | U^15=1 | | 2(a+3)+3(2a)=-2 | | 0.2x+0.8(20-x)=7 | | y=2x/x-1 | | 2x^3+13x^2=-6x | | 8t-t^2=15 | | x^2+1000000x-1000000=0 | | 6b^2+144=0 | | 15y^2-43y+8=0 | | f(x)=5-8 | | 2x+3y=4x-7 |

Equations solver categories