x^2+27x+29=

Simple and best practice solution for x^2+27x+29= 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+27x+29= equation: 


Simplifying
x2 + 27x + 29 = 0

Reorder the terms:
29 + 27x + x2 = 0

Solving
29 + 27x + 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 + 27x + -29 + x2 = 0 + -29

Reorder the terms:
29 + -29 + 27x + x2 = 0 + -29

Combine like terms: 29 + -29 = 0
0 + 27x + x2 = 0 + -29
27x + x2 = 0 + -29

Combine like terms: 0 + -29 = -29
27x + x2 = -29

The x term is 27x.  Take half its coefficient (13.5).
Square it (182.25) and add it to both sides.

Add '182.25' to each side of the equation.
27x + 182.25 + x2 = -29 + 182.25

Reorder the terms:
182.25 + 27x + x2 = -29 + 182.25

Combine like terms: -29 + 182.25 = 153.25
182.25 + 27x + x2 = 153.25

Factor a perfect square on the left side:
(x + 13.5)(x + 13.5) = 153.25

Calculate the square root of the right side: 12.379418403

Break this problem into two subproblems by setting 
(x + 13.5) equal to 12.379418403 and -12.379418403.


Subproblem 1
x + 13.5 = 12.379418403

Simplifying
x + 13.5 = 12.379418403

Reorder the terms:
13.5 + x = 12.379418403

Solving
13.5 + x = 12.379418403

Solving for variable 'x'.

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

Add '-13.5' to each side of the equation.
13.5 + -13.5 + x = 12.379418403 + -13.5

Combine like terms: 13.5 + -13.5 = 0.0
0.0 + x = 12.379418403 + -13.5
x = 12.379418403 + -13.5

Combine like terms: 12.379418403 + -13.5 = -1.120581597
x = -1.120581597

Simplifying
x = -1.120581597


Subproblem 2
x + 13.5 = -12.379418403

Simplifying
x + 13.5 = -12.379418403

Reorder the terms:
13.5 + x = -12.379418403

Solving
13.5 + x = -12.379418403

Solving for variable 'x'.

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

Add '-13.5' to each side of the equation.
13.5 + -13.5 + x = -12.379418403 + -13.5

Combine like terms: 13.5 + -13.5 = 0.0
0.0 + x = -12.379418403 + -13.5
x = -12.379418403 + -13.5

Combine like terms: -12.379418403 + -13.5 = -25.879418403
x = -25.879418403

Simplifying
x = -25.879418403


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-1.120581597, -25.879418403}

See similar equations:

| -8t^2+60t+2=0 | | x+x+6=12 | | 3(5y-9)-4(y+4)= | | 9-(8r^2+2r)=0 | | 3+2x=25 | | -(5x^2+11x+5)=0 | | x-7x^2+3=0 | | -7x^2+x+3=0 | | 0+o=8 | | 2(6c+7d+2)=26c+4 | | -(2q+2)+3(2q+5)-2q= | | 4.7=.01x | | 3k^2-20k-7=0 | | U-12=6 | | 3(4x+1)=48.5-1 | | -(2q+5)+3(2q+7)-2q= | | Y+6=42 | | 3+c=10 | | x(2x+1)=36 | | 9(x-2)=5(x+3)+35 | | i-3=12 | | 5n-4=41 | | (3x-y)(6x^2+5xy-7y^2)= | | -(2y+6)+3(2y+6)-2y= | | F+9=9 | | 81w^2-64=0 | | j-9=10 | | 7x^2-9x-1=0 | | 4c^2-9p^2= | | -(2q+8)+3(2q+7)-2q= | | e-3=2 | | 5b=15 |

Equations solver categories