(x^2+8x+14)=0

Simple and best practice solution for (x^2+8x+14)=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+8x+14)=0 equation: 


Simplifying
(x2 + 8x + 14) = 0

Reorder the terms:
(14 + 8x + x2) = 0

Remove parenthesis around (14 + 8x + x2)
14 + 8x + x2 = 0

Solving
14 + 8x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-14' to each side of the equation.
14 + 8x + -14 + x2 = 0 + -14

Reorder the terms:
14 + -14 + 8x + x2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 8x + x2 = 0 + -14
8x + x2 = 0 + -14

Combine like terms: 0 + -14 = -14
8x + x2 = -14

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 = -14 + 16

Reorder the terms:
16 + 8x + x2 = -14 + 16

Combine like terms: -14 + 16 = 2
16 + 8x + x2 = 2

Factor a perfect square on the left side:
(x + 4)(x + 4) = 2

Calculate the square root of the right side: 1.414213562

Break this problem into two subproblems by setting 
(x + 4) equal to 1.414213562 and -1.414213562.


Subproblem 1
x + 4 = 1.414213562

Simplifying
x + 4 = 1.414213562

Reorder the terms:
4 + x = 1.414213562

Solving
4 + x = 1.414213562

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 = 1.414213562 + -4

Combine like terms: 4 + -4 = 0
0 + x = 1.414213562 + -4
x = 1.414213562 + -4

Combine like terms: 1.414213562 + -4 = -2.585786438
x = -2.585786438

Simplifying
x = -2.585786438


Subproblem 2
x + 4 = -1.414213562

Simplifying
x + 4 = -1.414213562

Reorder the terms:
4 + x = -1.414213562

Solving
4 + x = -1.414213562

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 = -1.414213562 + -4

Combine like terms: 4 + -4 = 0
0 + x = -1.414213562 + -4
x = -1.414213562 + -4

Combine like terms: -1.414213562 + -4 = -5.414213562
x = -5.414213562

Simplifying
x = -5.414213562


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-2.585786438, -5.414213562}

See similar equations:

| 3(x-1/x | | 2x^2-44=18x | | 4(n-5)+-3n=1 | | r^3/2=512 | | x+(x+59)+(x-11)=180 | | -(3m+5)=-(2m-8)-3 | | -48xyz-24xy= | | 2(2l+9)=62 | | 6xsquare+7x+2=0 | | x+(x+115)+(x+20)=180 | | 2(x-1.6)=3x | | (x+115)+(x+20)=180 | | 8(4s+8)=320 | | X-6.29=17.45 | | 2y+4x=44 | | H(t)=-5t+14t+3 | | -10x+14= | | 10(s-7)=-133 | | 2(1[3w+8]1)=70 | | 20x^3-4x^4+4x^3=0 | | -8(8g)=8 | | -0.4y=3.6 | | 8-4n+8-n=-3(-3n+4)-4(5n-4) | | -8(8-9)=8 | | 5x+41=56 | | 9(x+1)=81 | | 4x+140=2x+100 | | 3a^2=10+8 | | 3(-3-5n)=-3(4n-4) | | X+(X*0.20)=109.5 | | -8x-3=-12x+13 | | 20x-17y=3xy |

Equations solver categories