2-(12y+15y)=y(31-5y)

Simple and best practice solution for 2-(12y+15y)=y(31-5y) 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 2-(12y+15y)=y(31-5y) equation: 


Simplifying
2 + -1(12y + 15y) = y(31 + -5y)

Combine like terms: 12y + 15y = 27y
2 + -1(27y) = y(31 + -5y)

Remove parenthesis around (27y)
2 + -1 * 27y = y(31 + -5y)

Multiply -1 * 27
2 + -27y = y(31 + -5y)
2 + -27y = (31 * y + -5y * y)
2 + -27y = (31y + -5y2)

Solving
2 + -27y = 31y + -5y2

Solving for variable 'y'.

Combine like terms: -27y + -31y = -58y
2 + -58y + 5y2 = 31y + -5y2 + -31y + 5y2

Reorder the terms:
2 + -58y + 5y2 = 31y + -31y + -5y2 + 5y2

Combine like terms: 31y + -31y = 0
2 + -58y + 5y2 = 0 + -5y2 + 5y2
2 + -58y + 5y2 = -5y2 + 5y2

Combine like terms: -5y2 + 5y2 = 0
2 + -58y + 5y2 = 0

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

Divide each side by '5'.
0.4 + -11.6y + y2 = 0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + -11.6y + -0.4 + y2 = 0 + -0.4

Reorder the terms:
0.4 + -0.4 + -11.6y + y2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -11.6y + y2 = 0 + -0.4
-11.6y + y2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
-11.6y + y2 = -0.4

The y term is -11.6y.  Take half its coefficient (-5.8).
Square it (33.64) and add it to both sides.

Add '33.64' to each side of the equation.
-11.6y + 33.64 + y2 = -0.4 + 33.64

Reorder the terms:
33.64 + -11.6y + y2 = -0.4 + 33.64

Combine like terms: -0.4 + 33.64 = 33.24
33.64 + -11.6y + y2 = 33.24

Factor a perfect square on the left side:
(y + -5.8)(y + -5.8) = 33.24

Calculate the square root of the right side: 5.765414122

Break this problem into two subproblems by setting 
(y + -5.8) equal to 5.765414122 and -5.765414122.


Subproblem 1
y + -5.8 = 5.765414122

Simplifying
y + -5.8 = 5.765414122

Reorder the terms:
-5.8 + y = 5.765414122

Solving
-5.8 + y = 5.765414122

Solving for variable 'y'.

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

Add '5.8' to each side of the equation.
-5.8 + 5.8 + y = 5.765414122 + 5.8

Combine like terms: -5.8 + 5.8 = 0.0
0.0 + y = 5.765414122 + 5.8
y = 5.765414122 + 5.8

Combine like terms: 5.765414122 + 5.8 = 11.565414122
y = 11.565414122

Simplifying
y = 11.565414122


Subproblem 2
y + -5.8 = -5.765414122

Simplifying
y + -5.8 = -5.765414122

Reorder the terms:
-5.8 + y = -5.765414122

Solving
-5.8 + y = -5.765414122

Solving for variable 'y'.

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

Add '5.8' to each side of the equation.
-5.8 + 5.8 + y = -5.765414122 + 5.8

Combine like terms: -5.8 + 5.8 = 0.0
0.0 + y = -5.765414122 + 5.8
y = -5.765414122 + 5.8

Combine like terms: -5.765414122 + 5.8 = 0.034585878
y = 0.034585878

Simplifying
y = 0.034585878


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {11.565414122, 0.034585878}

See similar equations:

| 1+3t=13 | | y-34=28+7 | | (3t+2q)(7t-9q)=0 | | 3(-6)(-9)= | | 4p^2+9=18 | | 18y/3 | | 5/6-1/3x=y(5-2x) | | 2x-42=-6x+14 | | 14-2c=8 | | -8(6)y= | | (6x^3)-22x^2+20x= | | 5+3u=-4 | | 1/3x115x10.1 | | -16-(-9-7x)=98 | | m^2+2=12 | | 5(2x-4)=2x+12 | | 1/3xBxH | | 20c+d+11c+9d= | | 49-(2-x)2=0 | | (a)*(-12)=528 | | 3x-(x+156)=0 | | 3u-10=8 | | 3lnx-ln=0 | | x^3-3x^2-24x+13=0 | | 17x+(-5)=-20+14x | | (a)x(-12)=528 | | 6y^2-11y-42=0 | | [-5+(-5)]+[2+(-1)]= | | 8-2(x+5)=9-3(x+4) | | 7x+8=180-(5x+4) | | 2b+4c+8=0 | | 6x-9=0 |

Equations solver categories