0=x^2+8x+11

Simple and best practice solution for 0=x^2+8x+11 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 0=x^2+8x+11 equation: 


Simplifying
0 = x2 + 8x + 11

Reorder the terms:
0 = 11 + 8x + x2

Solving
0 = 11 + 8x + x2

Solving for variable 'x'.

Combine like terms: 0 + -11 = -11
-11 + -8x + -1x2 = 11 + 8x + x2 + -11 + -8x + -1x2

Reorder the terms:
-11 + -8x + -1x2 = 11 + -11 + 8x + -8x + x2 + -1x2

Combine like terms: 11 + -11 = 0
-11 + -8x + -1x2 = 0 + 8x + -8x + x2 + -1x2
-11 + -8x + -1x2 = 8x + -8x + x2 + -1x2

Combine like terms: 8x + -8x = 0
-11 + -8x + -1x2 = 0 + x2 + -1x2
-11 + -8x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-11 + -8x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(11 + 8x + x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(11 + 8x + x2)' equal to zero and attempt to solve:

Simplifying
11 + 8x + x2 = 0

Solving
11 + 8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + 8x + -11 + x2 = 0 + -11

Reorder the terms:
11 + -11 + 8x + x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 8x + x2 = 0 + -11
8x + x2 = 0 + -11

Combine like terms: 0 + -11 = -11
8x + x2 = -11

The x term is 8x.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8x + 16 + x2 = -11 + 16

Reorder the terms:
16 + 8x + x2 = -11 + 16

Combine like terms: -11 + 16 = 5
16 + 8x + x2 = 5

Factor a perfect square on the left side:
(x + 4)(x + 4) = 5

Calculate the square root of the right side: 2.236067978

Break this problem into two subproblems by setting 
(x + 4) equal to 2.236067978 and -2.236067978.


Subproblem 1
x + 4 = 2.236067978

Simplifying
x + 4 = 2.236067978

Reorder the terms:
4 + x = 2.236067978

Solving
4 + x = 2.236067978

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + x = 2.236067978 + -4

Combine like terms: 4 + -4 = 0
0 + x = 2.236067978 + -4
x = 2.236067978 + -4

Combine like terms: 2.236067978 + -4 = -1.763932022
x = -1.763932022

Simplifying
x = -1.763932022


Subproblem 2
x + 4 = -2.236067978

Simplifying
x + 4 = -2.236067978

Reorder the terms:
4 + x = -2.236067978

Solving
4 + x = -2.236067978

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + x = -2.236067978 + -4

Combine like terms: 4 + -4 = 0
0 + x = -2.236067978 + -4
x = -2.236067978 + -4

Combine like terms: -2.236067978 + -4 = -6.236067978
x = -6.236067978

Simplifying
x = -6.236067978


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-1.763932022, -6.236067978}
Solution
x = {-1.763932022, -6.236067978}

See similar equations:

| 9y^2+18y+2=0 | | 3+5.2=1-2.8x | | 4x-4x-28=-28 | | X+6+7x=14 | | n/7=33/21 | | -4d-2(3+d)=14 | | -38+49= | | 2-7x=-61 | | 3x^2+14w+8=0 | | 9x^2+6xy+y^2= | | 1.52+2= | | -42+(-55)= | | 2x+3y=135 | | -z+4(x+3)=-12 | | X^2-12x=-x | | 11x-x=14 | | 4b^5+8b+7=4 | | (5x/2)-(5x/6) | | 3s-5t=7t | | -6+9=21 | | 84=4n | | 2x+3.75=7x | | 2x^3-15X^2=2x | | 2x-b+8=5b+4 | | h(x)=2x+4 | | 2532500/x/1277.59=27.68 | | z+2(4+z)=3z+8 | | (3x^4y^3)(9x^2y^6)= | | 10y=2x+5 | | (3-2g)(7-g)=0 | | 2(R+10)=68 | | 15x^3y^11= |

Equations solver categories