(3w)(w)=(2w)(w+2)

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


Simplifying
(3w)(w) = (2w)(w + 2)

Remove parenthesis around (3w)
3w(w) = (2w)(w + 2)

Multiply w * w
3w2 = (2w)(w + 2)

Remove parenthesis around (2w)
3w2 = 2w(w + 2)

Reorder the terms:
3w2 = 2w(2 + w)
3w2 = (2 * 2w + w * 2w)
3w2 = (4w + 2w2)

Solving
3w2 = 4w + 2w2

Solving for variable 'w'.

Reorder the terms:
-4w + 3w2 + -2w2 = 4w + 2w2 + -4w + -2w2

Combine like terms: 3w2 + -2w2 = 1w2
-4w + 1w2 = 4w + 2w2 + -4w + -2w2

Reorder the terms:
-4w + 1w2 = 4w + -4w + 2w2 + -2w2

Combine like terms: 4w + -4w = 0
-4w + 1w2 = 0 + 2w2 + -2w2
-4w + 1w2 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
-4w + 1w2 = 0

Factor out the Greatest Common Factor (GCF), 'w'.
w(-4 + w) = 0


Subproblem 1
Set the factor 'w' equal to zero and attempt to solve:

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0

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

Simplifying
-4 + w = 0

Solving
-4 + w = 0

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

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

Combine like terms: -4 + 4 = 0
0 + w = 0 + 4
w = 0 + 4

Combine like terms: 0 + 4 = 4
w = 4

Simplifying
w = 4
Solution
w = {0, 4}

See similar equations:

| 4-5p=p+10 | | 1512*18= | | 2/5m-7/10m | | 10-3(2x+1)+x=34 | | 3(x+4)=9x+2-6x+10 | | 8X+23=87 | | 63f+36= | | b(6+x)=a(4-x) | | 8x-3+11-2x=32 | | 5-8n+1-6n= | | 20x^4/25x | | 24*63= | | 3(x+2)(x-1)=0 | | 1/4*x=37 | | 114-1.2m=t | | 18/345= | | (23x^2+7x-8)+(x^2+4x+8)= | | f(x)=3cos^2(4x) | | 2(x+1)(x+2)=0 | | x^2-4x+39= | | (7/4)^-2=0 | | 4x^2+4x+7=6 | | 136*6= | | 2(2x+3)(x-2)=0 | | -22+4x=-7(1-x) | | 8d/9 | | 25x+6-5x+1=0 | | 116/4 | | 36*50= | | 1/-4a-4=7/4a-3 | | 14p-11+7p+44= | | 0.7x+0.8x=4.5 |

Equations solver categories