3y^2-y+7=0

Simple and best practice solution for 3y^2-y+7=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-y+7=0 equation: 


Simplifying
3y2 + -1y + 7 = 0

Reorder the terms:
7 + -1y + 3y2 = 0

Solving
7 + -1y + 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'.
2.333333333 + -0.3333333333y + y2 = 0

Move the constant term to the right:

Add '-2.333333333' to each side of the equation.
2.333333333 + -0.3333333333y + -2.333333333 + y2 = 0 + -2.333333333

Reorder the terms:
2.333333333 + -2.333333333 + -0.3333333333y + y2 = 0 + -2.333333333

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
0.000000000 + -0.3333333333y + y2 = 0 + -2.333333333
-0.3333333333y + y2 = 0 + -2.333333333

Combine like terms: 0 + -2.333333333 = -2.333333333
-0.3333333333y + y2 = -2.333333333

The y term is -0.3333333333y.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333y + 0.02777777779 + y2 = -2.333333333 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333y + y2 = -2.333333333 + 0.02777777779

Combine like terms: -2.333333333 + 0.02777777779 = -2.30555555521
0.02777777779 + -0.3333333333y + y2 = -2.30555555521

Factor a perfect square on the left side:
(y + -0.1666666667)(y + -0.1666666667) = -2.30555555521

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 2(y+1)-3=-7 | | 6x^2+48=0 | | 5(x^2-1)=-24x | | 64x^8-16y^4=0 | | 8x-7=53-2x | | 24x^5-20x^4-4x^3= | | t^4-22t^2+40=0 | | 6x+5+2x-11=90 | | 5b+4-b-6-9b=3b-4-b+23 | | 5b=60 | | 1.1x-0.7x=12.8 | | 3x^3+x^2+12x+4=0 | | 5x^2+10x+30=0 | | 7s(7s-2)=0 | | 5+6y-8=5y-3-y | | =2(p+4)+3p+16 | | 2(2r-3)(2r+3)=0 | | 9x(4x-3)=0 | | 4(2x+3)-5x=2(x+3) | | 0=2x^2+7x | | 30(p^2-1)=11p | | 18y^3+24y^2-12y=0 | | 4x^2+49=28x | | x(x-15)+54=0 | | 0=2x^2-7x | | 3x+4x-1= | | 5(n+12)=-3(-8-3n)-6n | | 18(p^2-1)=77p | | 4+5t=11+4t | | 0.25(7+3r)=0.125r | | -7-5y=4y-2 | | y=2sinT |

Equations solver categories