x^2+0.011x=0.028

Simple and best practice solution for x^2+0.011x=0.028 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+0.011x=0.028 equation:


Simplifying
x2 + 0.011x = 0.028

Reorder the terms:
0.011x + x2 = 0.028

Solving
0.011x + x2 = 0.028

Solving for variable 'x'.

Reorder the terms:
-0.028 + 0.011x + x2 = 0.028 + -0.028

Combine like terms: 0.028 + -0.028 = 0.000
-0.028 + 0.011x + x2 = 0.000

Begin completing the square.

Move the constant term to the right:

Add '0.028' to each side of the equation.
-0.028 + 0.011x + 0.028 + x2 = 0.000 + 0.028

Reorder the terms:
-0.028 + 0.028 + 0.011x + x2 = 0.000 + 0.028

Combine like terms: -0.028 + 0.028 = 0.000
0.000 + 0.011x + x2 = 0.000 + 0.028
0.011x + x2 = 0.000 + 0.028

Combine like terms: 0.000 + 0.028 = 0.028
0.011x + x2 = 0.028

The x term is 0.011x.  Take half its coefficient (0.0055).
Square it (0.00003025) and add it to both sides.

Add '0.00003025' to each side of the equation.
0.011x + 0.00003025 + x2 = 0.028 + 0.00003025

Reorder the terms:
0.00003025 + 0.011x + x2 = 0.028 + 0.00003025

Combine like terms: 0.028 + 0.00003025 = 0.02803025
0.00003025 + 0.011x + x2 = 0.02803025

Factor a perfect square on the left side:
(x + 0.0055)(x + 0.0055) = 0.02803025

Calculate the square root of the right side: 0.16742237

Break this problem into two subproblems by setting 
(x + 0.0055) equal to 0.16742237 and -0.16742237.


Subproblem 1
x + 0.0055 = 0.16742237

Simplifying
x + 0.0055 = 0.16742237

Reorder the terms:
0.0055 + x = 0.16742237

Solving
0.0055 + x = 0.16742237

Solving for variable 'x'.

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

Add '-0.0055' to each side of the equation.
0.0055 + -0.0055 + x = 0.16742237 + -0.0055

Combine like terms: 0.0055 + -0.0055 = 0.0000
0.0000 + x = 0.16742237 + -0.0055
x = 0.16742237 + -0.0055

Combine like terms: 0.16742237 + -0.0055 = 0.16192237
x = 0.16192237

Simplifying
x = 0.16192237


Subproblem 2
x + 0.0055 = -0.16742237

Simplifying
x + 0.0055 = -0.16742237

Reorder the terms:
0.0055 + x = -0.16742237

Solving
0.0055 + x = -0.16742237

Solving for variable 'x'.

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

Add '-0.0055' to each side of the equation.
0.0055 + -0.0055 + x = -0.16742237 + -0.0055

Combine like terms: 0.0055 + -0.0055 = 0.0000
0.0000 + x = -0.16742237 + -0.0055
x = -0.16742237 + -0.0055

Combine like terms: -0.16742237 + -0.0055 = -0.17292237
x = -0.17292237

Simplifying
x = -0.17292237


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.16192237, -0.17292237}

See similar equations:

| x^2+0.011x=0.28 | | x^2-0.011x=0.28 | | 4.9t^2-225t+620=0 | | 2x/3-x/2=x+1/6 | | (602)410-9= | | (602)374-9= | | [289]= | | (289)= | | 09011966= | | 09/01/1966= | | != | | 15!= | | 15!3/2= | | (2x^2)+15x-28=0 | | 2x^2+2x-140=0 | | xy+7x+7y+49= | | (8x-2)/4 | | (7x^2)+11x+43=0 | | 8x-2/4 | | (5x^2)+13x-1=0 | | 8w+4=10+4w | | 3-2x=21 | | 9+3lnx=36 | | 7-2x=13+4x | | 6/7=18/y | | 2/x=22/99 | | 40x+[46(1.5x)]=5166.67 | | 3/5=n/35 | | y=4600sin(0.047-0.893) | | g(x)=7x^4-3X-8 | | y=3cos(3x-c) | | -6m^4+48m=0 |

Equations solver categories