6y^2-6y+14=0

Simple and best practice solution for 6y^2-6y+14=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^2-6y+14=0 equation: 


Simplifying
6y2 + -6y + 14 = 0

Reorder the terms:
14 + -6y + 6y2 = 0

Solving
14 + -6y + 6y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(7 + -3y + 3y2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(7 + -3y + 3y2)' equal to zero and attempt to solve:

Simplifying
7 + -3y + 3y2 = 0

Solving
7 + -3y + 3y2 = 0

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

Divide each side by '3'.
2.333333333 + -1y + y2 = 0

Move the constant term to the right:

Add '-2.333333333' to each side of the equation.
2.333333333 + -1y + -2.333333333 + y2 = 0 + -2.333333333

Reorder the terms:
2.333333333 + -2.333333333 + -1y + y2 = 0 + -2.333333333

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
0.000000000 + -1y + y2 = 0 + -2.333333333
-1y + y2 = 0 + -2.333333333

Combine like terms: 0 + -2.333333333 = -2.333333333
-1y + y2 = -2.333333333

The y term is -1y.  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.
-1y + 0.25 + y2 = -2.333333333 + 0.25

Reorder the terms:
0.25 + -1y + y2 = -2.333333333 + 0.25

Combine like terms: -2.333333333 + 0.25 = -2.083333333
0.25 + -1y + y2 = -2.083333333

Factor a perfect square on the left side:
(y + -0.5)(y + -0.5) = -2.083333333

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:

| 0.03x+0.02(70)=0.05(x+70) | | 23=3+5u | | 9+8m=-1+1+9m | | 20/10=30/x | | 3x+41=59 | | 20x^2=24-17x | | 3(x+2)-4x=7 | | 8v=-9+7v | | 2x=(10/2) | | 3/4(2x-6)=5/6 | | 2-9n=-34 | | 23=5+3u | | 5n=45.6 | | f(3)-9=5(9)+4(3) | | 13x+7=-6 | | Cos(x+10)=-.44 | | 4x^2-54x+50=0 | | 180=15+64+x | | x=1/2x-2=1 | | -9+b=7b+9 | | 8m-5-4m=4m+12 | | 180=x+39+25 | | 0.25x+60-x=7.4 | | 180=15+90+x | | f(3)=3x-2 | | (2x-5)/3=-5 | | 188=-4(-8n+1) | | 4(x-8)=-2x+28 | | 2/7x3x2/3 | | x+x+x+x-3+8-5=180 | | 9-3x+9=-2(4x-5) | | -4q=4q+8 |

Equations solver categories