y^2-28y-25=0

Simple and best practice solution for y^2-28y-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^2-28y-25=0 equation: 


Simplifying
y2 + -28y + -25 = 0

Reorder the terms:
-25 + -28y + y2 = 0

Solving
-25 + -28y + 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 + -28y + 25 + y2 = 0 + 25

Reorder the terms:
-25 + 25 + -28y + y2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -28y + y2 = 0 + 25
-28y + y2 = 0 + 25

Combine like terms: 0 + 25 = 25
-28y + y2 = 25

The y term is -28y.  Take half its coefficient (-14).
Square it (196) and add it to both sides.

Add '196' to each side of the equation.
-28y + 196 + y2 = 25 + 196

Reorder the terms:
196 + -28y + y2 = 25 + 196

Combine like terms: 25 + 196 = 221
196 + -28y + y2 = 221

Factor a perfect square on the left side:
(y + -14)(y + -14) = 221

Calculate the square root of the right side: 14.866068747

Break this problem into two subproblems by setting 
(y + -14) equal to 14.866068747 and -14.866068747.


Subproblem 1
y + -14 = 14.866068747

Simplifying
y + -14 = 14.866068747

Reorder the terms:
-14 + y = 14.866068747

Solving
-14 + y = 14.866068747

Solving for variable 'y'.

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

Add '14' to each side of the equation.
-14 + 14 + y = 14.866068747 + 14

Combine like terms: -14 + 14 = 0
0 + y = 14.866068747 + 14
y = 14.866068747 + 14

Combine like terms: 14.866068747 + 14 = 28.866068747
y = 28.866068747

Simplifying
y = 28.866068747


Subproblem 2
y + -14 = -14.866068747

Simplifying
y + -14 = -14.866068747

Reorder the terms:
-14 + y = -14.866068747

Solving
-14 + y = -14.866068747

Solving for variable 'y'.

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

Add '14' to each side of the equation.
-14 + 14 + y = -14.866068747 + 14

Combine like terms: -14 + 14 = 0
0 + y = -14.866068747 + 14
y = -14.866068747 + 14

Combine like terms: -14.866068747 + 14 = -0.866068747
y = -0.866068747

Simplifying
y = -0.866068747


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {28.866068747, -0.866068747}

See similar equations:

| 1/6n-7=9 | | 2m-9=-9-8m-m | | 3-x+4x=27 | | x^2+24x+148=0 | | k^2+5k+6=(k+2)(k+U+2610) | | -7(k-6)-(2k-7)=-10k | | 390=(111+X)(X) | | -9=y/5-7 | | tg^2(45-20,7/2) | | 2x-6x-8y+3y= | | 2-5y=-43 | | -7(k-6)-(2k-7)=10k | | 12y-x=27 | | -11=2x+1 | | -u/9=-52 | | 3x/7=5x/6-17 | | -5x+4x+20-11x= | | X+6=12.7 | | (7a+2)(8a^2+7a-6)= | | (5x^3)+(10x^2)-(20x)-(40)=0 | | (-3m+60)-(5m+4)=28 | | 7y-10=9y-34 | | 5x+6y=44 | | y=ln(x-1)+3 | | (5x-10)-(4x-25)=17 | | ln(x-1)=-0.5x+1 | | 3312=1800+1800(.07t) | | 77-y=238 | | 122=-y+176 | | 72+4x=9x+17 | | 5-2(4-7t^4)=0 | | -v+75=224 |

Equations solver categories