y^2-25y-4=0

Simple and best practice solution for y^2-25y-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^2-25y-4=0 equation: 


Simplifying
y2 + -25y + -4 = 0

Reorder the terms:
-4 + -25y + y2 = 0

Solving
-4 + -25y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '4' to each side of the equation.
-4 + -25y + 4 + y2 = 0 + 4

Reorder the terms:
-4 + 4 + -25y + y2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -25y + y2 = 0 + 4
-25y + y2 = 0 + 4

Combine like terms: 0 + 4 = 4
-25y + y2 = 4

The y term is -25y.  Take half its coefficient (-12.5).
Square it (156.25) and add it to both sides.

Add '156.25' to each side of the equation.
-25y + 156.25 + y2 = 4 + 156.25

Reorder the terms:
156.25 + -25y + y2 = 4 + 156.25

Combine like terms: 4 + 156.25 = 160.25
156.25 + -25y + y2 = 160.25

Factor a perfect square on the left side:
(y + -12.5)(y + -12.5) = 160.25

Calculate the square root of the right side: 12.658988901

Break this problem into two subproblems by setting 
(y + -12.5) equal to 12.658988901 and -12.658988901.


Subproblem 1
y + -12.5 = 12.658988901

Simplifying
y + -12.5 = 12.658988901

Reorder the terms:
-12.5 + y = 12.658988901

Solving
-12.5 + y = 12.658988901

Solving for variable 'y'.

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

Add '12.5' to each side of the equation.
-12.5 + 12.5 + y = 12.658988901 + 12.5

Combine like terms: -12.5 + 12.5 = 0.0
0.0 + y = 12.658988901 + 12.5
y = 12.658988901 + 12.5

Combine like terms: 12.658988901 + 12.5 = 25.158988901
y = 25.158988901

Simplifying
y = 25.158988901


Subproblem 2
y + -12.5 = -12.658988901

Simplifying
y + -12.5 = -12.658988901

Reorder the terms:
-12.5 + y = -12.658988901

Solving
-12.5 + y = -12.658988901

Solving for variable 'y'.

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

Add '12.5' to each side of the equation.
-12.5 + 12.5 + y = -12.658988901 + 12.5

Combine like terms: -12.5 + 12.5 = 0.0
0.0 + y = -12.658988901 + 12.5
y = -12.658988901 + 12.5

Combine like terms: -12.658988901 + 12.5 = -0.158988901
y = -0.158988901

Simplifying
y = -0.158988901


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {25.158988901, -0.158988901}

See similar equations:

| 2n-3/4=-5 | | 3x+8=7x-42 | | 10y=18 | | -1/8x=3/4 | | 1=9-(c-2) | | 6(w-1)=5w-6 | | 0.25x+13=-0.25x | | 0.072x+5.043=0.06x+5.037 | | y-3x=-10 | | 0.05(y-20)+0.07y=0.02y-0.05(40) | | 0.3x=7-0.7x | | n/6-8=4 | | 4x-4+6x=-4 | | 3=-1/2X | | -60=-2/3w | | 0.12(12)+0.02x=0.04(24+x) | | 3v+8=8+2v+y | | 5y+8=2 | | x+5(-3+2x)=-9,5 | | 0.15x+0.05(4-x)=0.3(-1) | | 4+m/3=5/6 | | w+4/15=31/3 | | m/7m | | 24=f/-4 | | b^2-4b-16=0 | | 2n^2-n-2=0 | | -7x+10-7x=-74 | | 1.08(1.22)(6-x)=7 | | -4k-10=-5k+18 | | tn=-2n+5 | | 2a^2-a-11=0 | | 1.5(1+0.5x)=-6 |

Equations solver categories