2x^2+9x+8=0

Simple and best practice solution for 2x^2+9x+8=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 2x^2+9x+8=0 equation: 


Simplifying
2x2 + 9x + 8 = 0

Reorder the terms:
8 + 9x + 2x2 = 0

Solving
8 + 9x + 2x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
4 + 4.5x + x2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + 4.5x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + 4.5x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 4.5x + x2 = 0 + -4
4.5x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
4.5x + x2 = -4

The x term is 4.5x.  Take half its coefficient (2.25).
Square it (5.0625) and add it to both sides.

Add '5.0625' to each side of the equation.
4.5x + 5.0625 + x2 = -4 + 5.0625

Reorder the terms:
5.0625 + 4.5x + x2 = -4 + 5.0625

Combine like terms: -4 + 5.0625 = 1.0625
5.0625 + 4.5x + x2 = 1.0625

Factor a perfect square on the left side:
(x + 2.25)(x + 2.25) = 1.0625

Calculate the square root of the right side: 1.030776406

Break this problem into two subproblems by setting 
(x + 2.25) equal to 1.030776406 and -1.030776406.


Subproblem 1
x + 2.25 = 1.030776406

Simplifying
x + 2.25 = 1.030776406

Reorder the terms:
2.25 + x = 1.030776406

Solving
2.25 + x = 1.030776406

Solving for variable 'x'.

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

Add '-2.25' to each side of the equation.
2.25 + -2.25 + x = 1.030776406 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + x = 1.030776406 + -2.25
x = 1.030776406 + -2.25

Combine like terms: 1.030776406 + -2.25 = -1.219223594
x = -1.219223594

Simplifying
x = -1.219223594


Subproblem 2
x + 2.25 = -1.030776406

Simplifying
x + 2.25 = -1.030776406

Reorder the terms:
2.25 + x = -1.030776406

Solving
2.25 + x = -1.030776406

Solving for variable 'x'.

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

Add '-2.25' to each side of the equation.
2.25 + -2.25 + x = -1.030776406 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + x = -1.030776406 + -2.25
x = -1.030776406 + -2.25

Combine like terms: -1.030776406 + -2.25 = -3.280776406
x = -3.280776406

Simplifying
x = -3.280776406


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-1.219223594, -3.280776406}

See similar equations:

| 4x^2+18x+16=0 | | 4x+7x= | | -4+18-26+0= | | x^2+x-30=2x | | -8-12+25= | | x-7.1=-6.8 | | -8-12+26-1= | | x(x+1)=29-2x+1 | | -18+12+8-26= | | x(x+1)=29 | | 6+13-19-22= | | t+21=18 | | p^2-32+s^2=0 | | p^2+32=0 | | p^2+32-s^2=0 | | c=2.24w+14.72 | | x^2+2x-99=0 | | 4s^2-9s=0 | | -4y=12 | | p=c+2b+a | | s^4+9=0 | | 5x+8=x-8 | | 49w^2-25=0 | | 8y^2-10yz-3z^2=0 | | 2x=-y+4 | | 8+(5-p)3=17 | | 15a^2+5a=0 | | 4r^2+13r-12=0 | | x+(x+13)+(2x-33)=724 | | x^2+7x+9=0 | | f=kq | | x=300*0.13*2 |

Equations solver categories