y^2+7y+8=0

Simple and best practice solution for y^2+7y+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 y^2+7y+8=0 equation: 


Simplifying
y2 + 7y + 8 = 0

Reorder the terms:
8 + 7y + y2 = 0

Solving
8 + 7y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + 7y + -8 + y2 = 0 + -8

Reorder the terms:
8 + -8 + 7y + y2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 7y + y2 = 0 + -8
7y + y2 = 0 + -8

Combine like terms: 0 + -8 = -8
7y + y2 = -8

The y term is 7y.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7y + 12.25 + y2 = -8 + 12.25

Reorder the terms:
12.25 + 7y + y2 = -8 + 12.25

Combine like terms: -8 + 12.25 = 4.25
12.25 + 7y + y2 = 4.25

Factor a perfect square on the left side:
(y + 3.5)(y + 3.5) = 4.25

Calculate the square root of the right side: 2.061552813

Break this problem into two subproblems by setting 
(y + 3.5) equal to 2.061552813 and -2.061552813.


Subproblem 1
y + 3.5 = 2.061552813

Simplifying
y + 3.5 = 2.061552813

Reorder the terms:
3.5 + y = 2.061552813

Solving
3.5 + y = 2.061552813

Solving for variable 'y'.

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

Add '-3.5' to each side of the equation.
3.5 + -3.5 + y = 2.061552813 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + y = 2.061552813 + -3.5
y = 2.061552813 + -3.5

Combine like terms: 2.061552813 + -3.5 = -1.438447187
y = -1.438447187

Simplifying
y = -1.438447187


Subproblem 2
y + 3.5 = -2.061552813

Simplifying
y + 3.5 = -2.061552813

Reorder the terms:
3.5 + y = -2.061552813

Solving
3.5 + y = -2.061552813

Solving for variable 'y'.

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

Add '-3.5' to each side of the equation.
3.5 + -3.5 + y = -2.061552813 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + y = -2.061552813 + -3.5
y = -2.061552813 + -3.5

Combine like terms: -2.061552813 + -3.5 = -5.561552813
y = -5.561552813

Simplifying
y = -5.561552813


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {-1.438447187, -5.561552813}

See similar equations:

| 20=-5x^2+20x | | 3n-4+4n=4[6] | | -12=-4[a-2] | | 3x+9=84x-48+48x-72 | | -7x-3x+2=-6x-8 | | 7x+6+x=3+4x-17 | | y=0.016x^2+0.124x+0.787 | | -.39t^2+4.8t=0 | | .39t^2+4.8t=0 | | (x-9)*(x-6)= | | 8x+6+x=3+4x-17 | | d-3d= | | 40-11(4n+4)=5(6n+1)-62n | | 7(2t-2)+2(-5t-1)= | | 3+5h-9=4[3h+4]-1 | | 30t+22-20t=6t-24+18 | | S*4=288 | | 4/100x+1=2.2 | | 2.7(w-5.2)= | | 3+3.2x=9.5+2.5 | | 4/100x+1=21/5 | | 4/100x+1=2+1/5 | | 2.82(x)=5.4 | | 8=2x+40y | | ln(x+1)+ln(x-5)=12 | | -6m=68 | | 0=-9[b+1] | | (x^2-15x+54)(x-8)= | | 11-(9f+4)=-10f-6 | | -5[k+3]=25 | | 11-(9f+4)=10f-6 | | 7(x-6)=9 |

Equations solver categories