3y^2-12y-44=0

Simple and best practice solution for 3y^2-12y-44=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 3y^2-12y-44=0 equation: 


Simplifying
3y2 + -12y + -44 = 0

Reorder the terms:
-44 + -12y + 3y2 = 0

Solving
-44 + -12y + 3y2 = 0

Solving for variable 'y'.

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

Divide each side by '3'.
-14.66666667 + -4y + y2 = 0

Move the constant term to the right:

Add '14.66666667' to each side of the equation.
-14.66666667 + -4y + 14.66666667 + y2 = 0 + 14.66666667

Reorder the terms:
-14.66666667 + 14.66666667 + -4y + y2 = 0 + 14.66666667

Combine like terms: -14.66666667 + 14.66666667 = 0.00000000
0.00000000 + -4y + y2 = 0 + 14.66666667
-4y + y2 = 0 + 14.66666667

Combine like terms: 0 + 14.66666667 = 14.66666667
-4y + y2 = 14.66666667

The y term is -4y.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4y + 4 + y2 = 14.66666667 + 4

Reorder the terms:
4 + -4y + y2 = 14.66666667 + 4

Combine like terms: 14.66666667 + 4 = 18.66666667
4 + -4y + y2 = 18.66666667

Factor a perfect square on the left side:
(y + -2)(y + -2) = 18.66666667

Calculate the square root of the right side: 4.320493799

Break this problem into two subproblems by setting 
(y + -2) equal to 4.320493799 and -4.320493799.


Subproblem 1
y + -2 = 4.320493799

Simplifying
y + -2 = 4.320493799

Reorder the terms:
-2 + y = 4.320493799

Solving
-2 + y = 4.320493799

Solving for variable 'y'.

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

Add '2' to each side of the equation.
-2 + 2 + y = 4.320493799 + 2

Combine like terms: -2 + 2 = 0
0 + y = 4.320493799 + 2
y = 4.320493799 + 2

Combine like terms: 4.320493799 + 2 = 6.320493799
y = 6.320493799

Simplifying
y = 6.320493799


Subproblem 2
y + -2 = -4.320493799

Simplifying
y + -2 = -4.320493799

Reorder the terms:
-2 + y = -4.320493799

Solving
-2 + y = -4.320493799

Solving for variable 'y'.

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

Add '2' to each side of the equation.
-2 + 2 + y = -4.320493799 + 2

Combine like terms: -2 + 2 = 0
0 + y = -4.320493799 + 2
y = -4.320493799 + 2

Combine like terms: -4.320493799 + 2 = -2.320493799
y = -2.320493799

Simplifying
y = -2.320493799


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {6.320493799, -2.320493799}

See similar equations:

| 9x-2=4x | | 3/4(4c-8) | | k+x=q | | 36=15-7x | | 4-3(x-5)=4 | | 1/2y-2x=-4 | | 2y-3(y+4)=13 | | -259=-7(-5-7n) | | 6/x+3=-15/x-4 | | 49-19=5(x-5) | | (2a-b)/2-(4a+2b)/3 | | 80-6x= | | 4h+5h=9h | | 6z+4/5=7z+1/5 | | 4(v+1)+v=8(v-1)6 | | Abs(5y-2)+2=8 | | a(3a-7ab+5b)=44 | | -9=7a-8-8 | | 2/9=h/39 | | -91=7(b-6) | | a(3a-7ab+5b)= | | -25T-2=48 | | 5/2x+3+4/2x-3 | | -29/12x13/4 | | 16x-5=-14 | | 6n+5-n=5 | | 12=-8x+4(x+8) | | x-w=p | | 5x-30+8=7x-10 | | 2(x-9)+8x=52 | | 4/9=8/n | | 3/x+2/x-1=0 |

Equations solver categories