2y(y+3)=2y+6y

Simple and best practice solution for 2y(y+3)=2y+6y 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(y+3)=2y+6y equation:


Simplifying
2y(y + 3) = 2y + 6y

Reorder the terms:
2y(3 + y) = 2y + 6y
(3 * 2y + y * 2y) = 2y + 6y
(6y + 2y2) = 2y + 6y

Combine like terms: 2y + 6y = 8y
6y + 2y2 = 8y

Solving
6y + 2y2 = 8y

Solving for variable 'y'.

Reorder the terms:
6y + -8y + 2y2 = 8y + -8y

Combine like terms: 6y + -8y = -2y
-2y + 2y2 = 8y + -8y

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

Factor out the Greatest Common Factor (GCF), '2y'.
2y(-1 + y) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0

Subproblem 2

Set the factor '(-1 + y)' equal to zero and attempt to solve: Simplifying -1 + y = 0 Solving -1 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + y = 0 + 1 y = 0 + 1 Combine like terms: 0 + 1 = 1 y = 1 Simplifying y = 1

Solution

y = {0, 1}

See similar equations:

| -3x+2y-4=0 | | 5m-5(6+5m)=-190 | | -3(2x-1)=5 | | y=2.4x+4 | | (-3w^4/3)^2 | | 3(2x-4)-2(x-4)= | | 3.3q-(1.5q+6.8)=0.85 | | 4x+2y-5=0 | | 4(3x-5)=12x-20 | | 2c+2c+16=72 | | -4(2+y)+3y=3(y-4) | | 3x+6=5x-30 | | 9x=2x*3x | | 4x-5=26 | | 21x^3*24x^10= | | 1+e/5=-1 | | 5x=-50/7 | | z^2+(4+i)z+5+5i=0 | | 6x-2y=21 | | 3(2c-4)=32c-12 | | 5x(13-y)=50 | | 61-4x=5x+18 | | y-2+2= | | 3x-12=18-36-1 | | -wy-bg=-wr+sm | | 15x+17=6x+242 | | -3x/2+3-4x-3/6+5/8 | | X(-6)=-60 | | -18-6r=6(1+3r) | | 2x^2+1.5x+17=43 | | 3t+8=3 | | 2/4x+24=74 |

Equations solver categories