(x^2+1000x)=0.036

Simple and best practice solution for (x^2+1000x)=0.036 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+1000x)=0.036 equation: 


Simplifying
(x2 + 1000x) = 0.036

Reorder the terms:
(1000x + x2) = 0.036

Remove parenthesis around (1000x + x2)
1000x + x2 = 0.036

Solving
1000x + x2 = 0.036

Solving for variable 'x'.

Reorder the terms:
-0.036 + 1000x + x2 = 0.036 + -0.036

Combine like terms: 0.036 + -0.036 = 0.000
-0.036 + 1000x + x2 = 0.000

Begin completing the square.

Move the constant term to the right:

Add '0.036' to each side of the equation.
-0.036 + 1000x + 0.036 + x2 = 0.000 + 0.036

Reorder the terms:
-0.036 + 0.036 + 1000x + x2 = 0.000 + 0.036

Combine like terms: -0.036 + 0.036 = 0.000
0.000 + 1000x + x2 = 0.000 + 0.036
1000x + x2 = 0.000 + 0.036

Combine like terms: 0.000 + 0.036 = 0.036
1000x + x2 = 0.036

The x term is 1000x.  Take half its coefficient (500).
Square it (250000) and add it to both sides.

Add '250000' to each side of the equation.
1000x + 250000 + x2 = 0.036 + 250000

Reorder the terms:
250000 + 1000x + x2 = 0.036 + 250000

Combine like terms: 0.036 + 250000 = 250000.036
250000 + 1000x + x2 = 250000.036

Factor a perfect square on the left side:
(x + 500)(x + 500) = 250000.036

Calculate the square root of the right side: 500.000036

Break this problem into two subproblems by setting 
(x + 500) equal to 500.000036 and -500.000036.


Subproblem 1
x + 500 = 500.000036

Simplifying
x + 500 = 500.000036

Reorder the terms:
500 + x = 500.000036

Solving
500 + x = 500.000036

Solving for variable 'x'.

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

Add '-500' to each side of the equation.
500 + -500 + x = 500.000036 + -500

Combine like terms: 500 + -500 = 0
0 + x = 500.000036 + -500
x = 500.000036 + -500

Combine like terms: 500.000036 + -500 = 0.000036
x = 0.000036

Simplifying
x = 0.000036


Subproblem 2
x + 500 = -500.000036

Simplifying
x + 500 = -500.000036

Reorder the terms:
500 + x = -500.000036

Solving
500 + x = -500.000036

Solving for variable 'x'.

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

Add '-500' to each side of the equation.
500 + -500 + x = -500.000036 + -500

Combine like terms: 500 + -500 = 0
0 + x = -500.000036 + -500
x = -500.000036 + -500

Combine like terms: -500.000036 + -500 = -1000.000036
x = -1000.000036

Simplifying
x = -1000.000036


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.000036, -1000.000036}

See similar equations:

| 9x=7x+17 | | 3r+5t=110 | | -1-4(2n+2)=39-2n | | -15=-5/3w | | x^2-5/3-20 | | 3(2x-1)y= | | 6x+10=41 | | y=405+0.5x(y-10) | | 8x+3x+2= | | 2(5-4)+2= | | j+(-38)=117 | | -8(2b+2)(17b-2)=0 | | -9x-x=5/3 | | 2x-4/7=2-2x/4 | | (13b-9)-4(3b+2)=-6 | | 3.2=32c | | 4x-1/3x-4=0 | | X=100-2y | | 3x^4-21x-18=0 | | (2x)(x+3)=55 | | x^2=169x-5 | | -3x-8.5=20.8 | | (x+14)(x+14)=1236 | | 11z=1/3 | | (x+2)(x-6)=37 | | -(-7-2m)+6=33-3m | | 5+25x=15x+12 | | 4(3t+5)= | | x(28+x)=20(52) | | 2.5x-0.8=6.7 | | X+1=7x-15 | | (x*205)+(y*164)=17814 |

Equations solver categories