x^2+14x+29=0

Simple and best practice solution for x^2+14x+29=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+29=0 equation: 


Simplifying
x2 + 14x + 29 = 0

Reorder the terms:
29 + 14x + x2 = 0

Solving
29 + 14x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-29' to each side of the equation.
29 + 14x + -29 + x2 = 0 + -29

Reorder the terms:
29 + -29 + 14x + x2 = 0 + -29

Combine like terms: 29 + -29 = 0
0 + 14x + x2 = 0 + -29
14x + x2 = 0 + -29

Combine like terms: 0 + -29 = -29
14x + x2 = -29

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 = -29 + 49

Reorder the terms:
49 + 14x + x2 = -29 + 49

Combine like terms: -29 + 49 = 20
49 + 14x + x2 = 20

Factor a perfect square on the left side:
(x + 7)(x + 7) = 20

Calculate the square root of the right side: 4.472135955

Break this problem into two subproblems by setting 
(x + 7) equal to 4.472135955 and -4.472135955.


Subproblem 1
x + 7 = 4.472135955

Simplifying
x + 7 = 4.472135955

Reorder the terms:
7 + x = 4.472135955

Solving
7 + x = 4.472135955

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 = 4.472135955 + -7

Combine like terms: 7 + -7 = 0
0 + x = 4.472135955 + -7
x = 4.472135955 + -7

Combine like terms: 4.472135955 + -7 = -2.527864045
x = -2.527864045

Simplifying
x = -2.527864045


Subproblem 2
x + 7 = -4.472135955

Simplifying
x + 7 = -4.472135955

Reorder the terms:
7 + x = -4.472135955

Solving
7 + x = -4.472135955

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 = -4.472135955 + -7

Combine like terms: 7 + -7 = 0
0 + x = -4.472135955 + -7
x = -4.472135955 + -7

Combine like terms: -4.472135955 + -7 = -11.472135955
x = -11.472135955

Simplifying
x = -11.472135955


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-2.527864045, -11.472135955}

See similar equations:

| -5600.00+200x=-2800.00 | | n+7=n-8 | | -5600.00+200x=0 | | x(3-11)=14 | | 3-5x=10+2x | | 4k+10=2 | | 9x^2y^2+30xy+25=0 | | 35-5x=4x+18 | | y=x^3-6x^2+5x+12 | | 3x+6=6x+5 | | 1-2x=5+x | | 2(0)-6= | | 55c=11 | | 87.5-42.3= | | 10.75=4.3b | | 01.5= | | 42+42= | | 96.6+46.3= | | 21-96.96969969696= | | M-12=6 | | 41x-21= | | 26.5=z+(2.3+7.7) | | 6x^2-6x+18=30 | | -6+m=22 | | 11x+10x^2=6y | | 4x+1=2x+1 | | Y+-6=30 | | 25p^2+145p+100=0 | | M+(7.8-1.2)=54.2 | | 23=(56-x)-321 | | 5x-4=10-2x | | 6-(6xA)= |

Equations solver categories