y^2+19y+79=0

Simple and best practice solution for y^2+19y+79=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+19y+79=0 equation: 


Simplifying
y2 + 19y + 79 = 0

Reorder the terms:
79 + 19y + y2 = 0

Solving
79 + 19y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-79' to each side of the equation.
79 + 19y + -79 + y2 = 0 + -79

Reorder the terms:
79 + -79 + 19y + y2 = 0 + -79

Combine like terms: 79 + -79 = 0
0 + 19y + y2 = 0 + -79
19y + y2 = 0 + -79

Combine like terms: 0 + -79 = -79
19y + y2 = -79

The y term is 19y.  Take half its coefficient (9.5).
Square it (90.25) and add it to both sides.

Add '90.25' to each side of the equation.
19y + 90.25 + y2 = -79 + 90.25

Reorder the terms:
90.25 + 19y + y2 = -79 + 90.25

Combine like terms: -79 + 90.25 = 11.25
90.25 + 19y + y2 = 11.25

Factor a perfect square on the left side:
(y + 9.5)(y + 9.5) = 11.25

Calculate the square root of the right side: 3.354101966

Break this problem into two subproblems by setting 
(y + 9.5) equal to 3.354101966 and -3.354101966.


Subproblem 1
y + 9.5 = 3.354101966

Simplifying
y + 9.5 = 3.354101966

Reorder the terms:
9.5 + y = 3.354101966

Solving
9.5 + y = 3.354101966

Solving for variable 'y'.

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

Add '-9.5' to each side of the equation.
9.5 + -9.5 + y = 3.354101966 + -9.5

Combine like terms: 9.5 + -9.5 = 0.0
0.0 + y = 3.354101966 + -9.5
y = 3.354101966 + -9.5

Combine like terms: 3.354101966 + -9.5 = -6.145898034
y = -6.145898034

Simplifying
y = -6.145898034


Subproblem 2
y + 9.5 = -3.354101966

Simplifying
y + 9.5 = -3.354101966

Reorder the terms:
9.5 + y = -3.354101966

Solving
9.5 + y = -3.354101966

Solving for variable 'y'.

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

Add '-9.5' to each side of the equation.
9.5 + -9.5 + y = -3.354101966 + -9.5

Combine like terms: 9.5 + -9.5 = 0.0
0.0 + y = -3.354101966 + -9.5
y = -3.354101966 + -9.5

Combine like terms: -3.354101966 + -9.5 = -12.854101966
y = -12.854101966

Simplifying
y = -12.854101966


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {-6.145898034, -12.854101966}

See similar equations:

| 62.84t-123.66=4(2.36+2.4t) | | 1=-14+15t | | 60x=55(x+1) | | 1x+a=b | | 3(x-1)-4(2x+3)=15 | | Y-x(3+y)=2 | | 6t-t-15=0 | | P+3+N+1=S | | 7a=98 | | 50=2t+4 | | f/26=22 | | 4(3x-3)^2/3=36  | | (4c-5)+(c+11)= | | 12x-43=.25(16x+52) | | 65X=60(x+2) | | D/3=11 | | 65=60(x+2) | | 7(2z+1)= | | 4x+6=2(2x+2) | | x^3+5x^2+4x+20=f(x) | | 7b+3(b-1)+3=2(b+8) | | 7n-3(3-n)=-11 | | 2s+1=5 | | 64x-55x=36 | | 4(3x+5)=18x | | 7/90 | | 14x-13=85 | | 6+2v=10 | | 65x+85x=450 | | 3x+(x+30)=180 | | 2/3h-5=7 | | 3(x-6)x+7=-2(x+4) |

Equations solver categories