x^2+6x+2.25=0

Simple and best practice solution for x^2+6x+2.25=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+6x+2.25=0 equation: 


Simplifying
x2 + 6x + 2.25 = 0

Reorder the terms:
2.25 + 6x + x2 = 0

Solving
2.25 + 6x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-2.25' to each side of the equation.
2.25 + 6x + -2.25 + x2 = 0 + -2.25

Reorder the terms:
2.25 + -2.25 + 6x + x2 = 0 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + 6x + x2 = 0 + -2.25
6x + x2 = 0 + -2.25

Combine like terms: 0 + -2.25 = -2.25
6x + x2 = -2.25

The x term is 6x.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x + 9 + x2 = -2.25 + 9

Reorder the terms:
9 + 6x + x2 = -2.25 + 9

Combine like terms: -2.25 + 9 = 6.75
9 + 6x + x2 = 6.75

Factor a perfect square on the left side:
(x + 3)(x + 3) = 6.75

Calculate the square root of the right side: 2.598076211

Break this problem into two subproblems by setting 
(x + 3) equal to 2.598076211 and -2.598076211.


Subproblem 1
x + 3 = 2.598076211

Simplifying
x + 3 = 2.598076211

Reorder the terms:
3 + x = 2.598076211

Solving
3 + x = 2.598076211

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + x = 2.598076211 + -3

Combine like terms: 3 + -3 = 0
0 + x = 2.598076211 + -3
x = 2.598076211 + -3

Combine like terms: 2.598076211 + -3 = -0.401923789
x = -0.401923789

Simplifying
x = -0.401923789


Subproblem 2
x + 3 = -2.598076211

Simplifying
x + 3 = -2.598076211

Reorder the terms:
3 + x = -2.598076211

Solving
3 + x = -2.598076211

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + x = -2.598076211 + -3

Combine like terms: 3 + -3 = 0
0 + x = -2.598076211 + -3
x = -2.598076211 + -3

Combine like terms: -2.598076211 + -3 = -5.598076211
x = -5.598076211

Simplifying
x = -5.598076211


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.401923789, -5.598076211}

See similar equations:

| 6x-6y=-6 | | 3x+4-5x=9 | | x^2-4x+3.75=0 | | [x-2]+10=8 | | 3n-47+n+7= | | 3b^2=19b+14 | | 90-x=180-2x+10 | | 5x+164+7x+184=180 | | -8+8=a+6-4 | | 90-x=80-2x+10 | | 2.5p=24 | | 2+4.9=12 | | 2x+120=8x+78 | | 30-2[x+1]=6 | | 5y+2y-78= | | 2x+177+4x+99=180 | | 2+4|9=12 | | t^4-4t+8=0 | | 9x+6=3x+8 | | 3u=2u^2-2 | | 2+4`9=12 | | 30-2(x+1)=6 | | x+10+4x-11= | | 2+49=12 | | -8-3*a=19 | | x+83-70=50+11 | | 2+4~9=12 | | x+8=5-X | | 13+6*a=67 | | 100=-(x-1)+3x+3 | | 2x^3+6x^2-x+10=0 | | 2+4_9X=12 |

Equations solver categories