6y^2-50y+80=0

Simple and best practice solution for 6y^2-50y+80=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 6y^2-50y+80=0 equation: 


Simplifying
6y2 + -50y + 80 = 0

Reorder the terms:
80 + -50y + 6y2 = 0

Solving
80 + -50y + 6y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(40 + -25y + 3y2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(40 + -25y + 3y2)' equal to zero and attempt to solve:

Simplifying
40 + -25y + 3y2 = 0

Solving
40 + -25y + 3y2 = 0

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

Divide each side by '3'.
13.33333333 + -8.333333333y + y2 = 0

Move the constant term to the right:

Add '-13.33333333' to each side of the equation.
13.33333333 + -8.333333333y + -13.33333333 + y2 = 0 + -13.33333333

Reorder the terms:
13.33333333 + -13.33333333 + -8.333333333y + y2 = 0 + -13.33333333

Combine like terms: 13.33333333 + -13.33333333 = 0.00000000
0.00000000 + -8.333333333y + y2 = 0 + -13.33333333
-8.333333333y + y2 = 0 + -13.33333333

Combine like terms: 0 + -13.33333333 = -13.33333333
-8.333333333y + y2 = -13.33333333

The y term is -8.333333333y.  Take half its coefficient (-4.166666667).
Square it (17.36111111) and add it to both sides.

Add '17.36111111' to each side of the equation.
-8.333333333y + 17.36111111 + y2 = -13.33333333 + 17.36111111

Reorder the terms:
17.36111111 + -8.333333333y + y2 = -13.33333333 + 17.36111111

Combine like terms: -13.33333333 + 17.36111111 = 4.02777778
17.36111111 + -8.333333333y + y2 = 4.02777778

Factor a perfect square on the left side:
(y + -4.166666667)(y + -4.166666667) = 4.02777778

Calculate the square root of the right side: 2.00693243

Break this problem into two subproblems by setting 
(y + -4.166666667) equal to 2.00693243 and -2.00693243.


Subproblem 1
y + -4.166666667 = 2.00693243

Simplifying
y + -4.166666667 = 2.00693243

Reorder the terms:
-4.166666667 + y = 2.00693243

Solving
-4.166666667 + y = 2.00693243

Solving for variable 'y'.

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

Add '4.166666667' to each side of the equation.
-4.166666667 + 4.166666667 + y = 2.00693243 + 4.166666667

Combine like terms: -4.166666667 + 4.166666667 = 0.000000000
0.000000000 + y = 2.00693243 + 4.166666667
y = 2.00693243 + 4.166666667

Combine like terms: 2.00693243 + 4.166666667 = 6.173599097
y = 6.173599097

Simplifying
y = 6.173599097


Subproblem 2
y + -4.166666667 = -2.00693243

Simplifying
y + -4.166666667 = -2.00693243

Reorder the terms:
-4.166666667 + y = -2.00693243

Solving
-4.166666667 + y = -2.00693243

Solving for variable 'y'.

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

Add '4.166666667' to each side of the equation.
-4.166666667 + 4.166666667 + y = -2.00693243 + 4.166666667

Combine like terms: -4.166666667 + 4.166666667 = 0.000000000
0.000000000 + y = -2.00693243 + 4.166666667
y = -2.00693243 + 4.166666667

Combine like terms: -2.00693243 + 4.166666667 = 2.159734237
y = 2.159734237

Simplifying
y = 2.159734237


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {6.173599097, 2.159734237}
Solution
y = {6.173599097, 2.159734237}

See similar equations:

| h(x)=-6x^3+5x | | 3y-7g+6=0 | | 3(2x-4)=4x+30 | | 7(8-(-8x-7))=224x+252 | | 4x+8-17=35 | | x^3-2x=7 | | 4x-8=6-x | | g(x)=4x^3-1 | | 10x+3x=196 | | 3v-2(-v+7)=2(1+3v)+3v | | X-0.5(0.3x-0.6)=-1.5 | | 4:7::12:x= | | (6x)/2 | | 12y^2+11y-34=0 | | 13x-5-8x=25 | | 2x+7=9x-21 | | 6y-5y=35 | | 4-3y=y/4-4 | | 3-2x=5x-11 | | -6(8-12k)=6(13k+7) | | 6y+32=68 | | F(X)=X^5-5X^4 | | 5-3x=11 | | 5(x+4)=3(3x-1)-9 | | x+4(x-4)=0 | | 54x+9y=72 | | 1+.80x=2.75x | | 12n^2+3=0 | | 1+1=121 | | 21/2y=11/4y-8 | | X-1.4=1.9 | | 2(8+6y)=4(2y-12) |

Equations solver categories