9y^2+2y-46=0

Simple and best practice solution for 9y^2+2y-46=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 9y^2+2y-46=0 equation: 


Simplifying
9y2 + 2y + -46 = 0

Reorder the terms:
-46 + 2y + 9y2 = 0

Solving
-46 + 2y + 9y2 = 0

Solving for variable 'y'.

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

Divide each side by '9'.
-5.111111111 + 0.2222222222y + y2 = 0

Move the constant term to the right:

Add '5.111111111' to each side of the equation.
-5.111111111 + 0.2222222222y + 5.111111111 + y2 = 0 + 5.111111111

Reorder the terms:
-5.111111111 + 5.111111111 + 0.2222222222y + y2 = 0 + 5.111111111

Combine like terms: -5.111111111 + 5.111111111 = 0.000000000
0.000000000 + 0.2222222222y + y2 = 0 + 5.111111111
0.2222222222y + y2 = 0 + 5.111111111

Combine like terms: 0 + 5.111111111 = 5.111111111
0.2222222222y + y2 = 5.111111111

The y term is 0.2222222222y.  Take half its coefficient (0.1111111111).
Square it (0.01234567901) and add it to both sides.

Add '0.01234567901' to each side of the equation.
0.2222222222y + 0.01234567901 + y2 = 5.111111111 + 0.01234567901

Reorder the terms:
0.01234567901 + 0.2222222222y + y2 = 5.111111111 + 0.01234567901

Combine like terms: 5.111111111 + 0.01234567901 = 5.12345679001
0.01234567901 + 0.2222222222y + y2 = 5.12345679001

Factor a perfect square on the left side:
(y + 0.1111111111)(y + 0.1111111111) = 5.12345679001

Calculate the square root of the right side: 2.263505421

Break this problem into two subproblems by setting 
(y + 0.1111111111) equal to 2.263505421 and -2.263505421.


Subproblem 1
y + 0.1111111111 = 2.263505421

Simplifying
y + 0.1111111111 = 2.263505421

Reorder the terms:
0.1111111111 + y = 2.263505421

Solving
0.1111111111 + y = 2.263505421

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-0.1111111111' to each side of the equation.
0.1111111111 + -0.1111111111 + y = 2.263505421 + -0.1111111111

Combine like terms: 0.1111111111 + -0.1111111111 = 0.0000000000
0.0000000000 + y = 2.263505421 + -0.1111111111
y = 2.263505421 + -0.1111111111

Combine like terms: 2.263505421 + -0.1111111111 = 2.1523943099
y = 2.1523943099

Simplifying
y = 2.1523943099


Subproblem 2
y + 0.1111111111 = -2.263505421

Simplifying
y + 0.1111111111 = -2.263505421

Reorder the terms:
0.1111111111 + y = -2.263505421

Solving
0.1111111111 + y = -2.263505421

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-0.1111111111' to each side of the equation.
0.1111111111 + -0.1111111111 + y = -2.263505421 + -0.1111111111

Combine like terms: 0.1111111111 + -0.1111111111 = 0.0000000000
0.0000000000 + y = -2.263505421 + -0.1111111111
y = -2.263505421 + -0.1111111111

Combine like terms: -2.263505421 + -0.1111111111 = -2.3746165321
y = -2.3746165321

Simplifying
y = -2.3746165321


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {2.1523943099, -2.3746165321}

See similar equations:

| 5(r-6)=-35 | | 3x+4=8x-19 | | sin28/(69/x) | | 90=g-12 | | (3x-3z)(3x+3z)= | | b/-8-4=3 | | 5=mx+3 | | 9x-6=x^2-6 | | 10/11//-4/5 | | 2x^3*3x^3= | | 5n-9=-16+6h | | X^3+6x^2+12x+1=0 | | 28x=10-3x | | (3x^2)-2x-1=0 | | -7(3x+1)=35 | | (3x^2)-9x+6=0 | | 4n^4+3n^2-1=0 | | 1x+2.5*x=2.1 | | X/3-15=-15 | | 1x+2*x=2.1 | | 4x^3+6x^2+24x-36=0 | | -2/3*6y3 | | 3a2*1/4 | | p=nv | | 40-x=4(x-5) | | 2x/3=3/7 | | 5x+x=14+2x | | 18x/20*36/99 | | 2(u+2)-4u=8 | | -28y=-42 | | -28=-42y | | -28=-42 |

Equations solver categories