12y^2+100y+12=0

Simple and best practice solution for 12y^2+100y+12=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 12y^2+100y+12=0 equation: 


Simplifying
12y2 + 100y + 12 = 0

Reorder the terms:
12 + 100y + 12y2 = 0

Solving
12 + 100y + 12y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(3 + 25y + 3y2) = 0

Ignore the factor 4.

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

Simplifying
3 + 25y + 3y2 = 0

Solving
3 + 25y + 3y2 = 0

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

Divide each side by '3'.
1 + 8.333333333y + y2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 8.333333333y + -1 + y2 = 0 + -1

Reorder the terms:
1 + -1 + 8.333333333y + y2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 8.333333333y + y2 = 0 + -1
8.333333333y + y2 = 0 + -1

Combine like terms: 0 + -1 = -1
8.333333333y + y2 = -1

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 = -1 + 17.36111111

Reorder the terms:
17.36111111 + 8.333333333y + y2 = -1 + 17.36111111

Combine like terms: -1 + 17.36111111 = 16.36111111
17.36111111 + 8.333333333y + y2 = 16.36111111

Factor a perfect square on the left side:
(y + 4.166666667)(y + 4.166666667) = 16.36111111

Calculate the square root of the right side: 4.044887033

Break this problem into two subproblems by setting 
(y + 4.166666667) equal to 4.044887033 and -4.044887033.


Subproblem 1
y + 4.166666667 = 4.044887033

Simplifying
y + 4.166666667 = 4.044887033

Reorder the terms:
4.166666667 + y = 4.044887033

Solving
4.166666667 + y = 4.044887033

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 = 4.044887033 + -4.166666667

Combine like terms: 4.166666667 + -4.166666667 = 0.000000000
0.000000000 + y = 4.044887033 + -4.166666667
y = 4.044887033 + -4.166666667

Combine like terms: 4.044887033 + -4.166666667 = -0.121779634
y = -0.121779634

Simplifying
y = -0.121779634


Subproblem 2
y + 4.166666667 = -4.044887033

Simplifying
y + 4.166666667 = -4.044887033

Reorder the terms:
4.166666667 + y = -4.044887033

Solving
4.166666667 + y = -4.044887033

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 = -4.044887033 + -4.166666667

Combine like terms: 4.166666667 + -4.166666667 = 0.000000000
0.000000000 + y = -4.044887033 + -4.166666667
y = -4.044887033 + -4.166666667

Combine like terms: -4.044887033 + -4.166666667 = -8.2115537
y = -8.2115537

Simplifying
y = -8.2115537


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {-0.121779634, -8.2115537}
Solution
y = {-0.121779634, -8.2115537}

See similar equations:

| 0=-16x+50x+5 | | 4x-10=8x+10 | | 19+20= | | 4x+2x-7=17 | | X=3(180-X)+14 | | 27x^6-81x^3+8=0 | | 25x-130x-172=0 | | 3.5x-28=2.5x+7 | | (-4a^2b^3c^3)= | | 2x-9+x=15-x | | 11-2x=4x+23 | | 7x+3=11+2x | | 9x+4.76=5x+10 | | 4m+9-3=-6 | | -3.5x+1.2=-5.8 | | ax-4x=6-9 | | tan(2pi)=0 | | 8x-3+5x-9=131 | | 7(6x-6)=-336 | | (10x+21)+13x= | | 1.29x=48+.99x | | 6(x-4)-(5x-1)=1 | | 2x-10-4+8x=15-5x | | 0.6y=16 | | 11x+16=5y-1 | | 4.50x+30=2.50x | | 0.75=6x | | (5x+1)/4=x-2 | | -27=-15+x | | (11x^2+7x+5)+(9x+3)=0 | | 2.50x-30=4.50 | | 13=0.5c |

Equations solver categories