-y^2-5y+4=0

Simple and best practice solution for -y^2-5y+4=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+4=0 equation: 


Simplifying
-1y2 + -5y + 4 = 0

Reorder the terms:
4 + -5y + -1y2 = 0

Solving
4 + -5y + -1y2 = 0

Solving for variable 'y'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-4 + 5y + y2 = 0

Move the constant term to the right:

Add '4' to each side of the equation.
-4 + 5y + 4 + y2 = 0 + 4

Reorder the terms:
-4 + 4 + 5y + y2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 5y + y2 = 0 + 4
5y + y2 = 0 + 4

Combine like terms: 0 + 4 = 4
5y + y2 = 4

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 = 4 + 6.25

Reorder the terms:
6.25 + 5y + y2 = 4 + 6.25

Combine like terms: 4 + 6.25 = 10.25
6.25 + 5y + y2 = 10.25

Factor a perfect square on the left side:
(y + 2.5)(y + 2.5) = 10.25

Calculate the square root of the right side: 3.201562119

Break this problem into two subproblems by setting 
(y + 2.5) equal to 3.201562119 and -3.201562119.


Subproblem 1
y + 2.5 = 3.201562119

Simplifying
y + 2.5 = 3.201562119

Reorder the terms:
2.5 + y = 3.201562119

Solving
2.5 + y = 3.201562119

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 = 3.201562119 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + y = 3.201562119 + -2.5
y = 3.201562119 + -2.5

Combine like terms: 3.201562119 + -2.5 = 0.701562119
y = 0.701562119

Simplifying
y = 0.701562119


Subproblem 2
y + 2.5 = -3.201562119

Simplifying
y + 2.5 = -3.201562119

Reorder the terms:
2.5 + y = -3.201562119

Solving
2.5 + y = -3.201562119

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 = -3.201562119 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + y = -3.201562119 + -2.5
y = -3.201562119 + -2.5

Combine like terms: -3.201562119 + -2.5 = -5.701562119
y = -5.701562119

Simplifying
y = -5.701562119


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {0.701562119, -5.701562119}

See similar equations:

| -x-6y=11 | | 1-5x-7=4 | | 7-b= | | Cosx-6sinx=0 | | 3x=28-7y | | (45a^3b^5-60a^4b^2+75a^6b^4)=0 | | 6u+12= | | 11=20-3h | | 21=7(x-3) | | -r+3r=16 | | 6/n-3=8 | | -7(z-6)=-80 | | 1/2(4t-8)=(t-8)/4 | | 1/3(12x-9)=5x-3-x | | 35-2c=3 | | 5[x+3]=20 | | 30=3w-60 | | 3/5n=9/10=-1/5n-23/10 | | -3(-4-6y)+7(-y+5w)=0 | | 0.04x+20=35 | | s+15=40 | | -247=3-10x | | t=4+3 | | 24p^2=28-44p | | 4sin^3-3sin=0 | | (5y-2)(y+3)= | | 9n-360=0 | | x+3y=-150-100 | | 3t-72=7t-4t+72 | | 8y+8(y+5)=8 | | 27-r=7 | | 90/p=10 |

Equations solver categories