-12y^2+4y+4=0

Simple and best practice solution for -12y^2+4y+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 -12y^2+4y+4=0 equation: 


Simplifying
-12y2 + 4y + 4 = 0

Reorder the terms:
4 + 4y + -12y2 = 0

Solving
4 + 4y + -12y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(1 + y + -3y2) = 0

Ignore the factor 4.

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

Simplifying
1 + y + -3y2 = 0

Solving
1 + y + -3y2 = 0

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

Divide each side by '-3'.
-0.3333333333 + -0.3333333333y + y2 = 0

Move the constant term to the right:

Add '0.3333333333' to each side of the equation.
-0.3333333333 + -0.3333333333y + 0.3333333333 + y2 = 0 + 0.3333333333

Reorder the terms:
-0.3333333333 + 0.3333333333 + -0.3333333333y + y2 = 0 + 0.3333333333

Combine like terms: -0.3333333333 + 0.3333333333 = 0.0000000000
0.0000000000 + -0.3333333333y + y2 = 0 + 0.3333333333
-0.3333333333y + y2 = 0 + 0.3333333333

Combine like terms: 0 + 0.3333333333 = 0.3333333333
-0.3333333333y + y2 = 0.3333333333

The y term is y.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-0.3333333333y + 0.25 + y2 = 0.3333333333 + 0.25

Reorder the terms:
0.25 + -0.3333333333y + y2 = 0.3333333333 + 0.25

Combine like terms: 0.3333333333 + 0.25 = 0.5833333333
0.25 + -0.3333333333y + y2 = 0.5833333333

Factor a perfect square on the left side:
(y + 0.5)(y + 0.5) = 0.5833333333

Calculate the square root of the right side: 0.763762616

Break this problem into two subproblems by setting 
(y + 0.5) equal to 0.763762616 and -0.763762616.


Subproblem 1
y + 0.5 = 0.763762616

Simplifying
y + 0.5 = 0.763762616

Reorder the terms:
0.5 + y = 0.763762616

Solving
0.5 + y = 0.763762616

Solving for variable 'y'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + y = 0.763762616 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + y = 0.763762616 + -0.5
y = 0.763762616 + -0.5

Combine like terms: 0.763762616 + -0.5 = 0.263762616
y = 0.263762616

Simplifying
y = 0.263762616


Subproblem 2
y + 0.5 = -0.763762616

Simplifying
y + 0.5 = -0.763762616

Reorder the terms:
0.5 + y = -0.763762616

Solving
0.5 + y = -0.763762616

Solving for variable 'y'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + y = -0.763762616 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + y = -0.763762616 + -0.5
y = -0.763762616 + -0.5

Combine like terms: -0.763762616 + -0.5 = -1.263762616
y = -1.263762616

Simplifying
y = -1.263762616


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {0.263762616, -1.263762616}
Solution
y = {0.263762616, -1.263762616}

See similar equations:

| an=1(5)n-1 | | 15x+6=24 | | 66/a=22 | | 10(4x+5)= | | f(x)=2x^3+7x+78 | | 17Y-11=10Y-6 | | 47000=.58m+7800 | | 7x=12+40 | | r+40=82 | | v-1/v-3 | | 5/2n=98-2n | | log(4-x)=2 | | 18x^2+14-33x=0 | | 5y-20=45 | | x-2*x-2+y-2*y-2=4 | | 1.8x=16.2 | | 7+4c=34 | | x^2=20736 | | 2y+2=X+15 | | x+30.34=-22.88 | | 9-y+6y=50+4 | | 4g-2=-2 | | 3x(x+28)= | | 6r+14=-10 | | 9-4x^3=0 | | 5r-7=8 | | a=180-[(2x-40)+60] | | x^30=180 | | Y=2x^2+24x-8 | | 16x+23=13x+50 | | ?/5=1/4=0.5/? | | 3.14x(18/2)^2 |

Equations solver categories