y^2-3y=3y-8

Simple and best practice solution for y^2-3y=3y-8 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 y^2-3y=3y-8 equation: 


Simplifying
y2 + -3y = 3y + -8

Reorder the terms:
-3y + y2 = 3y + -8

Reorder the terms:
-3y + y2 = -8 + 3y

Solving
-3y + y2 = -8 + 3y

Solving for variable 'y'.

Reorder the terms:
8 + -3y + -3y + y2 = -8 + 3y + 8 + -3y

Combine like terms: -3y + -3y = -6y
8 + -6y + y2 = -8 + 3y + 8 + -3y

Reorder the terms:
8 + -6y + y2 = -8 + 8 + 3y + -3y

Combine like terms: -8 + 8 = 0
8 + -6y + y2 = 0 + 3y + -3y
8 + -6y + y2 = 3y + -3y

Combine like terms: 3y + -3y = 0
8 + -6y + y2 = 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:

| 6x^2-28x=-32 | | 2*(5x-3)-7*(x+2)=-5 | | y^2-3y=4 | | -3x+9=1 | | 5t^2-t=0 | | 5x-20x=60 | | 3-2x+5=6x | | 2-x=3x-4 | | 1.2x^2+x=0 | | x^4-8x^3-6x+12=0 | | 0.7x^2-x^3=0 | | 7x^2+20x-36=0 | | x+2=-4x-7 | | 10x+7+2x=16x+7 | | 2x-[3-5x(x-3)]=(2x-1)+10 | | (4-3(-2))x=-2x+2 | | x-7y=22 | | lnx-lnx(y-1)=1 | | x(4x-12)-7=-7 | | -2x+x^2+61y+4y^2=0 | | 6x+4y+3z=348 | | x^2+4y^2-2x+24y+37y=0 | | (2x-3)(2x-3)-16=-7 | | x(4x-12)=7 | | x(4x-12)-7=0 | | 5x^2+4sqrt(6)xy+7y^2-22=0 | | 2((-12+32)x-2)=56 | | 2((12+32)x-2)=56 | | 2((-12+4.8)x-2)=56 | | x^2+8x-13=0 | | (5x^3-2x)-(3+5x-2x^2-3x^3)= | | (2y^2-11xy+3x^2)-(4x^2+4y^2-10xy)= |

Equations solver categories