x^2+14x+11=0

Simple and best practice solution for x^2+14x+11=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+14x+11=0 equation: 


Simplifying
x2 + 14x + 11 = 0

Reorder the terms:
11 + 14x + x2 = 0

Solving
11 + 14x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + 14x + -11 + x2 = 0 + -11

Reorder the terms:
11 + -11 + 14x + x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 14x + x2 = 0 + -11
14x + x2 = 0 + -11

Combine like terms: 0 + -11 = -11
14x + x2 = -11

The x term is 14x.  Take half its coefficient (7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
14x + 49 + x2 = -11 + 49

Reorder the terms:
49 + 14x + x2 = -11 + 49

Combine like terms: -11 + 49 = 38
49 + 14x + x2 = 38

Factor a perfect square on the left side:
(x + 7)(x + 7) = 38

Calculate the square root of the right side: 6.164414003

Break this problem into two subproblems by setting 
(x + 7) equal to 6.164414003 and -6.164414003.


Subproblem 1
x + 7 = 6.164414003

Simplifying
x + 7 = 6.164414003

Reorder the terms:
7 + x = 6.164414003

Solving
7 + x = 6.164414003

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + x = 6.164414003 + -7

Combine like terms: 7 + -7 = 0
0 + x = 6.164414003 + -7
x = 6.164414003 + -7

Combine like terms: 6.164414003 + -7 = -0.835585997
x = -0.835585997

Simplifying
x = -0.835585997


Subproblem 2
x + 7 = -6.164414003

Simplifying
x + 7 = -6.164414003

Reorder the terms:
7 + x = -6.164414003

Solving
7 + x = -6.164414003

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + x = -6.164414003 + -7

Combine like terms: 7 + -7 = 0
0 + x = -6.164414003 + -7
x = -6.164414003 + -7

Combine like terms: -6.164414003 + -7 = -13.164414003
x = -13.164414003

Simplifying
x = -13.164414003


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.835585997, -13.164414003}

See similar equations:

| 7(17-x)=28 | | 5n-15=90 | | 37-(4y-6)=73-(9y-5) | | a/3-8=7 | | 12x-6=54 | | n/5+5=30 | | 3(2x-5)-4x=10 | | 9a+12=111 | | 4(3-2z)=-84 | | x/2-5=15 | | 3(y+8)=39 | | 6x-4y=36 | | 165-6x=39x+15 | | 3x+7=5x | | 3p+9=99 | | -4(x-2)=30 | | n/6+2=26 | | 7a-16=82 | | v+4a=21 | | 5(2X-2)=4-2X | | 11+e=24 | | 3(X+4)=3 | | 5c=40 | | 4*3+2*3-5= | | 2(1+5x)+3=17 | | 10w-10=23 | | 2(7-X)=6(1+2X) | | 10w-10/7=23 | | a+12=20a | | -6x+3-12x-8=31 | | 17=j+8 | | X^2+9x=-18 |

Equations solver categories