3y*y-4y+7=0

Simple and best practice solution for 3y*y-4y+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*y-4y+7=0 equation: 


Simplifying
3y * y + -4y + 7 = 0

Multiply y * y
3y2 + -4y + 7 = 0

Reorder the terms:
7 + -4y + 3y2 = 0

Solving
7 + -4y + 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 + -1.333333333y + y2 = 0

Move the constant term to the right:

Add '-2.333333333' to each side of the equation.
2.333333333 + -1.333333333y + -2.333333333 + y2 = 0 + -2.333333333

Reorder the terms:
2.333333333 + -2.333333333 + -1.333333333y + y2 = 0 + -2.333333333

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
0.000000000 + -1.333333333y + y2 = 0 + -2.333333333
-1.333333333y + y2 = 0 + -2.333333333

Combine like terms: 0 + -2.333333333 = -2.333333333
-1.333333333y + y2 = -2.333333333

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 = -2.333333333 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333y + y2 = -2.333333333 + 0.4444444442

Combine like terms: -2.333333333 + 0.4444444442 = -1.8888888888
0.4444444442 + -1.333333333y + y2 = -1.8888888888

Factor a perfect square on the left side:
(y + -0.6666666665)(y + -0.6666666665) = -1.8888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 3x+27=(-6)(x-3) | | 3(4+t)+2(5+t)= | | 3(2n-7)= | | 5n+3n=23 | | 5(k+9)= | | 3(w-9)=(-4w-41) | | 3x*x=5 | | (7+3i)(3-7i)=0 | | n-50+4n+10+3n=180 | | 8k^2-4k=0 | | 9m^25=0 | | 3n+30+5n+2n+40=180 | | (-3x^4+9x^2-4x-4)+(5x^2+7x-6)= | | -6w+36=(-4)(w-8) | | -4n+-25=-1 | | 3(m-1)=21 | | n+20+n+40+2n=180 | | 2(x+2)=5x+17 | | (8x+5)(2x^2-17-9)=0 | | -4(3b+3)+(13b-2)=0 | | 7x-6x=-10 | | xy-9x+8y-72= | | X^2+11=3 | | 2(n-7)= | | .08k=59.22 | | -15=-15-8u | | 2(n-20)=4n | | 5x^2+4x-1= | | w(w+3)=54 | | (5x^3-7x^2+6)-(9x^3-4x^2-1)= | | 7x+25-55=180 | | 54v+16=56v+14 |

Equations solver categories