y^2-5y-25=0

Simple and best practice solution for y^2-5y-25=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-25=0 equation: 


Simplifying
y2 + -5y + -25 = 0

Reorder the terms:
-25 + -5y + y2 = 0

Solving
-25 + -5y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '25' to each side of the equation.
-25 + -5y + 25 + y2 = 0 + 25

Reorder the terms:
-25 + 25 + -5y + y2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -5y + y2 = 0 + 25
-5y + y2 = 0 + 25

Combine like terms: 0 + 25 = 25
-5y + y2 = 25

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 = 25 + 6.25

Reorder the terms:
6.25 + -5y + y2 = 25 + 6.25

Combine like terms: 25 + 6.25 = 31.25
6.25 + -5y + y2 = 31.25

Factor a perfect square on the left side:
(y + -2.5)(y + -2.5) = 31.25

Calculate the square root of the right side: 5.590169944

Break this problem into two subproblems by setting 
(y + -2.5) equal to 5.590169944 and -5.590169944.


Subproblem 1
y + -2.5 = 5.590169944

Simplifying
y + -2.5 = 5.590169944

Reorder the terms:
-2.5 + y = 5.590169944

Solving
-2.5 + y = 5.590169944

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 = 5.590169944 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + y = 5.590169944 + 2.5
y = 5.590169944 + 2.5

Combine like terms: 5.590169944 + 2.5 = 8.090169944
y = 8.090169944

Simplifying
y = 8.090169944


Subproblem 2
y + -2.5 = -5.590169944

Simplifying
y + -2.5 = -5.590169944

Reorder the terms:
-2.5 + y = -5.590169944

Solving
-2.5 + y = -5.590169944

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 = -5.590169944 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + y = -5.590169944 + 2.5
y = -5.590169944 + 2.5

Combine like terms: -5.590169944 + 2.5 = -3.090169944
y = -3.090169944

Simplifying
y = -3.090169944


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {8.090169944, -3.090169944}

See similar equations:

| 3r-7*-19=-18 | | m+m+m+m+m+(-a)=5m-d-a | | y^2+xy-x^2=0 | | (16-7)*8= | | x+2y=78 | | 5+2(n+1)=2a | | 5c(9-3)=16 | | -3y-11=4y+38 | | 6x+1+31=90 | | 2x+(4x-12)=90 | | -7(t+2)=49 | | 12(15b+7)= | | 28-16=3(x-5) | | 5x+20+115=180 | | 0=x^2-4x+10 | | 8x+10+5x+70=180 | | 34x-4+28x+4=22 | | 34x-4+2x+4=22 | | 6-4=17-x | | 6-4=17-x | | -5.7(4t+6)-2.6(3t-5)= | | 7x-12+5x+12=180 | | 88=-4(2r+8) | | 5x+4x+10=180 | | 5x+4x+10=90 | | 8x^2+3x-5=36 | | Y=0.89x+40 | | -(2x+5)=13 | | 3-(2x-9)+x=-17x+11+16x | | -15=3(2+f) | | 4x+63-3x=90 | | x^2+16xy+y^2-7=0 |

Equations solver categories