9y^2-12y+12=

Simple and best practice solution for 9y^2-12y+12= 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 9y^2-12y+12= equation: 


Simplifying
9y2 + -12y + 12 = 0

Reorder the terms:
12 + -12y + 9y2 = 0

Solving
12 + -12y + 9y2 = 0

Solving for variable 'y'.

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

Ignore the factor 3.

Subproblem 1
Set the factor '(4 + -4y + 3y2)' equal to zero and attempt to solve:

Simplifying
4 + -4y + 3y2 = 0

Solving
4 + -4y + 3y2 = 0

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

Divide each side by '3'.
1.333333333 + -1.333333333y + y2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -1.333333333y + -1.333333333 + y2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -1.333333333y + y2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -1.333333333y + y2 = 0 + -1.333333333
-1.333333333y + y2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-1.333333333y + y2 = -1.333333333

The y term is -1.333333333y.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333y + 0.4444444442 + y2 = -1.333333333 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333y + y2 = -1.333333333 + 0.4444444442

Combine like terms: -1.333333333 + 0.4444444442 = -0.8888888888
0.4444444442 + -1.333333333y + y2 = -0.8888888888

Factor a perfect square on the left side:
(y + -0.6666666665)(y + -0.6666666665) = -0.8888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| x-8.1=5.1 | | 37(14)+10x= | | 9y^2-12y+12=0 | | 6x+10x-6=4(4x+6) | | -13x+6+6x^2=0 | | (4x+2y)(-3x-3)=0 | | -8+x=1-4n | | 7-4x+5x-7=5(x+12)-(x+3) | | z^5-3=12 | | z^5-3=12 | | 0.5(x+3)-0.7(x+3)= | | 0.5(x+3)-0.7(x+3)= | | p^2-21p+108=0 | | 9(v+9)=-9v-9 | | 9(v+9)=-9-9 | | 4w-48=-4(w+4) | | 5(y+6)=3y+36 | | 2(x-3)-5x=10 | | -4.2x+3=-9+1.8x | | 11+(-15)=6x-4-5x | | 7-(3y-2)=8-4y | | x/41=-6+34 | | bx(b+3)=4 | | 18a^2-3a-45=0 | | -15-(-6)x(-8)= | | 8(y-2)=4y-40 | | 7-3(3y-2)=8-4y | | 13-2a=a+1 | | 0.25n+0.6=9.8 | | 6x-(3x-9)=2(2x+1) | | m^2+19m+90= | | 2x-x+7x= |

Equations solver categories