x^2+x-0.22=0

Simple and best practice solution for x^2+x-0.22=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+x-0.22=0 equation: 


Simplifying
x2 + x + -0.22 = 0

Reorder the terms:
-0.22 + x + x2 = 0

Solving
-0.22 + x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '0.22' to each side of the equation.
-0.22 + x + 0.22 + x2 = 0 + 0.22

Reorder the terms:
-0.22 + 0.22 + x + x2 = 0 + 0.22

Combine like terms: -0.22 + 0.22 = 0.00
0.00 + x + x2 = 0 + 0.22
x + x2 = 0 + 0.22

Combine like terms: 0 + 0.22 = 0.22
x + x2 = 0.22

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
x + 0.25 + x2 = 0.22 + 0.25

Reorder the terms:
0.25 + x + x2 = 0.22 + 0.25

Combine like terms: 0.22 + 0.25 = 0.47
0.25 + x + x2 = 0.47

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 0.47

Calculate the square root of the right side: 0.68556546

Break this problem into two subproblems by setting 
(x + 0.5) equal to 0.68556546 and -0.68556546.


Subproblem 1
x + 0.5 = 0.68556546

Simplifying
x + 0.5 = 0.68556546

Reorder the terms:
0.5 + x = 0.68556546

Solving
0.5 + x = 0.68556546

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = 0.68556546 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = 0.68556546 + -0.5
x = 0.68556546 + -0.5

Combine like terms: 0.68556546 + -0.5 = 0.18556546
x = 0.18556546

Simplifying
x = 0.18556546


Subproblem 2
x + 0.5 = -0.68556546

Simplifying
x + 0.5 = -0.68556546

Reorder the terms:
0.5 + x = -0.68556546

Solving
0.5 + x = -0.68556546

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = -0.68556546 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = -0.68556546 + -0.5
x = -0.68556546 + -0.5

Combine like terms: -0.68556546 + -0.5 = -1.18556546
x = -1.18556546

Simplifying
x = -1.18556546


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.18556546, -1.18556546}

See similar equations:

| 3x(a-7b)-10y(a-7b)= | | 1/2x×-4= | | 1/3x×-4=7 | | 10a+2b+b=100 | | 8(20-x)=5x | | 2cos(x)-5sin(x)=0 | | x^2+30x=-150 | | (y^2)+4y-192=0 | | 2=1/2b | | 6y^3-11y^2=6y^2+3y | | 4x^3-12x^2-20x= | | 60x^3-42x^5= | | 6-5x=-x-14 | | y^2-48x+8y-128=0 | | 6(-9+4x)=42 | | 42+2x=x | | 42+2y=x | | 28x^6-63x^5= | | 14nmp-5mpn= | | 42=x-2y | | 2ab+3ba= | | -2x-5=6x-77 | | z=40x+20y | | (2x-5)=2(x+2) | | x+48(yx^2-2)=20 | | 6x+9+x=-12 | | 7x+2+4x=46 | | x/3-7=1 | | 2cd^2-2dc^2=0 | | 2y+120=x+78 | | 12x+y=42 | | 2(4x+1)=58 |

Equations solver categories