2y^2+11y+21=0

Simple and best practice solution for 2y^2+11y+21=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 2y^2+11y+21=0 equation:


Simplifying
2y2 + 11y + 21 = 0

Reorder the terms:
21 + 11y + 2y2 = 0

Solving
21 + 11y + 2y2 = 0

Solving for variable 'y'.

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

Divide each side by '2'.
10.5 + 5.5y + y2 = 0

Move the constant term to the right:

Add '-10.5' to each side of the equation.
10.5 + 5.5y + -10.5 + y2 = 0 + -10.5

Reorder the terms:
10.5 + -10.5 + 5.5y + y2 = 0 + -10.5

Combine like terms: 10.5 + -10.5 = 0.0
0.0 + 5.5y + y2 = 0 + -10.5
5.5y + y2 = 0 + -10.5

Combine like terms: 0 + -10.5 = -10.5
5.5y + y2 = -10.5

The y term is 5.5y.  Take half its coefficient (2.75).
Square it (7.5625) and add it to both sides.

Add '7.5625' to each side of the equation.
5.5y + 7.5625 + y2 = -10.5 + 7.5625

Reorder the terms:
7.5625 + 5.5y + y2 = -10.5 + 7.5625

Combine like terms: -10.5 + 7.5625 = -2.9375
7.5625 + 5.5y + y2 = -2.9375

Factor a perfect square on the left side:
(y + 2.75)(y + 2.75) = -2.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| -12z-13z-10z+-10z=7 | | -7(4d+3)=-15 | | 9x-4x-3x=29+1 | | 2.1/38 | | 26+-5x=-14 | | 5z+8=6z+40 | | 4(8+2x)=88 | | 18k-8k-5k+k-5k=9 | | 4/x-5=3 | | 7.8r+4.9=226.95 | | -2x+-13=27 | | -3x/4x=1x/8x-14 | | -1/3x-2=-1 | | 5a+20=18+30 | | x+7y=48 | | -4(b-7)-3b=84 | | 45+5y=x | | cos^3x+5cosx+6=0 | | 7x+20=-22 | | 9x+7x-3x= | | 4x=5y+31 | | 13x=6y-18 | | 42=5x+-8 | | -4=3h | | 4=3h | | -x/5-9=1 | | j+9=-4 | | -8.8(x-1.5)=17.6 | | 2x-10/x-5 | | j+9=4 | | b-4=0.8b | | -15z-12z=9 |

Equations solver categories