2y^2-8-4y=y^2-2y

Simple and best practice solution for 2y^2-8-4y=y^2-2y 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^2-8-4y=y^2-2y equation: 


Simplifying
2y2 + -8 + -4y = y2 + -2y

Reorder the terms:
-8 + -4y + 2y2 = y2 + -2y

Reorder the terms:
-8 + -4y + 2y2 = -2y + y2

Solving
-8 + -4y + 2y2 = -2y + y2

Solving for variable 'y'.

Reorder the terms:
-8 + -4y + 2y + 2y2 + -1y2 = -2y + y2 + 2y + -1y2

Combine like terms: -4y + 2y = -2y
-8 + -2y + 2y2 + -1y2 = -2y + y2 + 2y + -1y2

Combine like terms: 2y2 + -1y2 = 1y2
-8 + -2y + 1y2 = -2y + y2 + 2y + -1y2

Reorder the terms:
-8 + -2y + 1y2 = -2y + 2y + y2 + -1y2

Combine like terms: -2y + 2y = 0
-8 + -2y + 1y2 = 0 + y2 + -1y2
-8 + -2y + 1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-8 + -2y + 1y2 = 0

Factor a trinomial.
(-2 + -1y)(4 + -1y) = 0


Subproblem 1
Set the factor '(-2 + -1y)' equal to zero and attempt to solve:

Simplifying
-2 + -1y = 0

Solving
-2 + -1y = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1y = 0 + 2
-1y = 0 + 2

Combine like terms: 0 + 2 = 2
-1y = 2

Divide each side by '-1'.
y = -2

Simplifying
y = -2

Subproblem 2
Set the factor '(4 + -1y)' equal to zero and attempt to solve:

Simplifying
4 + -1y = 0

Solving
4 + -1y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1y = 0 + -4
-1y = 0 + -4

Combine like terms: 0 + -4 = -4
-1y = -4

Divide each side by '-1'.
y = 4

Simplifying
y = 4
Solution
y = {-2, 4}

See similar equations:

| 2x^2+16x+14=54 | | 0.25q+0.10(3q)=4.95 | | 4(6x+5)=24x+20 | | (4y+3)(y+6)=-4(4y+3) | | 2u^2+u+2=0 | | 0.14(y-1)+0.18y=0.12y-1.5 | | 0.5+0.05n=1.30 | | 7(4x-2)=5(5x+5) | | 4=t+5s | | -8.7q+1.6=-21.5-1.0q | | 9y+8=26 | | 7x+4=-5+5x+25 | | 9y+8= | | 3(5x+1)=4(3x+6) | | 9y*8= | | 2-4(a+2)=9+a | | 6d+11-3d+4= | | 3(x-1)(x+2)-2x(x-1)(x+3)=0 | | 4x-1=2(2x-3)+5 | | 2x^2+16x+14=14 | | 9m-54= | | -3x^2+11x+21=0 | | 10m+5n-6m+8n= | | x/(-4)=17 | | 6-10z=-9+5z | | -3y^2[2y-(13y^2-5y)]-[-9+(-14y+9)]= | | 9x-9=9(x-9) | | 2[4x+1]-1=1 | | 9x^2-25y^2=225 | | 4b^2c^3-3c^3= | | 10x=-16 | | r^4=0.123456 |

Equations solver categories