x^2+0.022x-0.00012=0

Simple and best practice solution for x^2+0.022x-0.00012=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+0.022x-0.00012=0 equation: 


Simplifying
x2 + 0.022x + -0.00012 = 0

Reorder the terms:
-0.00012 + 0.022x + x2 = 0

Solving
-0.00012 + 0.022x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '0.00012' to each side of the equation.
-0.00012 + 0.022x + 0.00012 + x2 = 0 + 0.00012

Reorder the terms:
-0.00012 + 0.00012 + 0.022x + x2 = 0 + 0.00012

Combine like terms: -0.00012 + 0.00012 = 0.00000
0.00000 + 0.022x + x2 = 0 + 0.00012
0.022x + x2 = 0 + 0.00012

Combine like terms: 0 + 0.00012 = 0.00012
0.022x + x2 = 0.00012

The x term is 0.022x.  Take half its coefficient (0.011).
Square it (0.000121) and add it to both sides.

Add '0.000121' to each side of the equation.
0.022x + 0.000121 + x2 = 0.00012 + 0.000121

Reorder the terms:
0.000121 + 0.022x + x2 = 0.00012 + 0.000121

Combine like terms: 0.00012 + 0.000121 = 0.000241
0.000121 + 0.022x + x2 = 0.000241

Factor a perfect square on the left side:
(x + 0.011)(x + 0.011) = 0.000241

Calculate the square root of the right side: 0.015524175

Break this problem into two subproblems by setting 
(x + 0.011) equal to 0.015524175 and -0.015524175.


Subproblem 1
x + 0.011 = 0.015524175

Simplifying
x + 0.011 = 0.015524175

Reorder the terms:
0.011 + x = 0.015524175

Solving
0.011 + x = 0.015524175

Solving for variable 'x'.

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

Add '-0.011' to each side of the equation.
0.011 + -0.011 + x = 0.015524175 + -0.011

Combine like terms: 0.011 + -0.011 = 0.000
0.000 + x = 0.015524175 + -0.011
x = 0.015524175 + -0.011

Combine like terms: 0.015524175 + -0.011 = 0.004524175
x = 0.004524175

Simplifying
x = 0.004524175


Subproblem 2
x + 0.011 = -0.015524175

Simplifying
x + 0.011 = -0.015524175

Reorder the terms:
0.011 + x = -0.015524175

Solving
0.011 + x = -0.015524175

Solving for variable 'x'.

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

Add '-0.011' to each side of the equation.
0.011 + -0.011 + x = -0.015524175 + -0.011

Combine like terms: 0.011 + -0.011 = 0.000
0.000 + x = -0.015524175 + -0.011
x = -0.015524175 + -0.011

Combine like terms: -0.015524175 + -0.011 = -0.026524175
x = -0.026524175

Simplifying
x = -0.026524175


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.004524175, -0.026524175}

See similar equations:

| -5=-4+2x | | 2x+8y=-50 | | 3(3w+4)+3w=32 | | -39-2p=-7-4(p+4) | | 4r+4y= | | y=-2x+55 | | 5-2(x+7)=-10 | | -5=-4+24 | | X^2-2x+81=0 | | 8t-21=11 | | 8a+6=6a+18 | | N+3+7n-1= | | 8d+2d=40 | | 2(n+5)=5 | | Y=(3x^2-3x+6)2 | | 0.80x+0.60(10)=0.40(39) | | -(3a-2b)-3(-a-b)=5b | | x+90+x+100=180 | | -5=-4+2 | | 180=1.2(K-273.15)+32 | | X+4-3x= | | 7(3x-5)-8=21x-43 | | 4x+7(-6)=-6 | | F(x)=50x-x^2 | | 2x+3x-7x=61 | | 4n=(-492) | | -8-5a= | | 117-4X=5 | | 9(x-2)+15=33 | | 2x-5-3(2x-7)=2(3x-5)-4 | | 7*(-48)= | | 9+26=-5(5x-7) |

Equations solver categories