x^2+11x+22=0

Simple and best practice solution for x^2+11x+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+11x+22=0 equation: 


Simplifying
x2 + 11x + 22 = 0

Reorder the terms:
22 + 11x + x2 = 0

Solving
22 + 11x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-22' to each side of the equation.
22 + 11x + -22 + x2 = 0 + -22

Reorder the terms:
22 + -22 + 11x + x2 = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 11x + x2 = 0 + -22
11x + x2 = 0 + -22

Combine like terms: 0 + -22 = -22
11x + x2 = -22

The x term is 11x.  Take half its coefficient (5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
11x + 30.25 + x2 = -22 + 30.25

Reorder the terms:
30.25 + 11x + x2 = -22 + 30.25

Combine like terms: -22 + 30.25 = 8.25
30.25 + 11x + x2 = 8.25

Factor a perfect square on the left side:
(x + 5.5)(x + 5.5) = 8.25

Calculate the square root of the right side: 2.872281323

Break this problem into two subproblems by setting 
(x + 5.5) equal to 2.872281323 and -2.872281323.


Subproblem 1
x + 5.5 = 2.872281323

Simplifying
x + 5.5 = 2.872281323

Reorder the terms:
5.5 + x = 2.872281323

Solving
5.5 + x = 2.872281323

Solving for variable 'x'.

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

Add '-5.5' to each side of the equation.
5.5 + -5.5 + x = 2.872281323 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + x = 2.872281323 + -5.5
x = 2.872281323 + -5.5

Combine like terms: 2.872281323 + -5.5 = -2.627718677
x = -2.627718677

Simplifying
x = -2.627718677


Subproblem 2
x + 5.5 = -2.872281323

Simplifying
x + 5.5 = -2.872281323

Reorder the terms:
5.5 + x = -2.872281323

Solving
5.5 + x = -2.872281323

Solving for variable 'x'.

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

Add '-5.5' to each side of the equation.
5.5 + -5.5 + x = -2.872281323 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + x = -2.872281323 + -5.5
x = -2.872281323 + -5.5

Combine like terms: -2.872281323 + -5.5 = -8.372281323
x = -8.372281323

Simplifying
x = -8.372281323


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-2.627718677, -8.372281323}

See similar equations:

| x^2+11x+32=2 | | (14x-7)= | | (3x^4y^-5/9x^-6y^8)^-3 | | 3x-4+2(2x)+17=-3-2x+(16-6) | | x^2-2y-8=0 | | 3/4/4/9 | | 4x-39=8x-19 | | a11/a6 | | 4*4*4*4*4*4*4*4*4*4= | | 2x+18=78 | | (T/7)=2 | | -7(8)*-56-(-4)(-9)= | | 5(x+3)+(x-2)2=39 | | 18/x=252 | | 3d+9=37 | | x/18=182 | | 6m-9=15+2m | | x^(-5/3) | | -7(8)*2-(-4)(-9)= | | x^-5/3 | | 4n-2=-7+5n | | U=cn | | u=cb | | 4(g-5)=23 | | 0=6x^3-35x^2+26x-5 | | ab=3a+2b+c | | 3/7-1/5=x/25 | | 9w+63=198 | | (3x^2)+6x-6=0 | | 3=99/2-22 | | 4-(3)=x | | 1/4t-1/6=1/3 |

Equations solver categories