y^2+5y-60=0

Simple and best practice solution for y^2+5y-60=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+5y-60=0 equation: 


Simplifying
y2 + 5y + -60 = 0

Reorder the terms:
-60 + 5y + y2 = 0

Solving
-60 + 5y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '60' to each side of the equation.
-60 + 5y + 60 + y2 = 0 + 60

Reorder the terms:
-60 + 60 + 5y + y2 = 0 + 60

Combine like terms: -60 + 60 = 0
0 + 5y + y2 = 0 + 60
5y + y2 = 0 + 60

Combine like terms: 0 + 60 = 60
5y + y2 = 60

The y term is 5y.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5y + 6.25 + y2 = 60 + 6.25

Reorder the terms:
6.25 + 5y + y2 = 60 + 6.25

Combine like terms: 60 + 6.25 = 66.25
6.25 + 5y + y2 = 66.25

Factor a perfect square on the left side:
(y + 2.5)(y + 2.5) = 66.25

Calculate the square root of the right side: 8.139410298

Break this problem into two subproblems by setting 
(y + 2.5) equal to 8.139410298 and -8.139410298.


Subproblem 1
y + 2.5 = 8.139410298

Simplifying
y + 2.5 = 8.139410298

Reorder the terms:
2.5 + y = 8.139410298

Solving
2.5 + y = 8.139410298

Solving for variable 'y'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + y = 8.139410298 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + y = 8.139410298 + -2.5
y = 8.139410298 + -2.5

Combine like terms: 8.139410298 + -2.5 = 5.639410298
y = 5.639410298

Simplifying
y = 5.639410298


Subproblem 2
y + 2.5 = -8.139410298

Simplifying
y + 2.5 = -8.139410298

Reorder the terms:
2.5 + y = -8.139410298

Solving
2.5 + y = -8.139410298

Solving for variable 'y'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + y = -8.139410298 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + y = -8.139410298 + -2.5
y = -8.139410298 + -2.5

Combine like terms: -8.139410298 + -2.5 = -10.639410298
y = -10.639410298

Simplifying
y = -10.639410298


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {5.639410298, -10.639410298}

See similar equations:

| 3(x+7)=5(2x-8) | | x/4=26 | | -18w=-7 | | n/8+9=17 | | 32=r^5 | | 9a+6=51 | | n+11=7 | | 21x-2x^2=0 | | 3m=6m_9/5 | | x=3.14*r^2 | | 730+163x+9x^2=0 | | 2x=4/5(x+10) | | x=3.14/4*2/2 | | 8y+2=18 | | 3ln(x-6)=15 | | x^2-120x+900=0 | | s=2x+5 | | -2x-2x=28-4 | | 3x+a=220 | | x+5y=-40 | | 3/n=9 | | -20-8= | | A=4h(b+a) | | A=4h(b+a)forA | | x^2-120x-475=0 | | n+11=10 | | (-3w^2+6w-5)+(-8w^2+7w+7)-(-5w^2+6w+8)=0 | | 4/x+1=5 | | 8(-8)+9y=72 | | 6x-18=72 | | p^2-9p+1=0 | | y=5(-5)-10 |

Equations solver categories