4w(3w+2)+2w(3w-2)=2(3w-2)(3w+2)

Simple and best practice solution for 4w(3w+2)+2w(3w-2)=2(3w-2)(3w+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 4w(3w+2)+2w(3w-2)=2(3w-2)(3w+2) equation: 


Simplifying
4w(3w + 2) + 2w(3w + -2) = 2(3w + -2)(3w + 2)

Reorder the terms:
4w(2 + 3w) + 2w(3w + -2) = 2(3w + -2)(3w + 2)
(2 * 4w + 3w * 4w) + 2w(3w + -2) = 2(3w + -2)(3w + 2)
(8w + 12w2) + 2w(3w + -2) = 2(3w + -2)(3w + 2)

Reorder the terms:
8w + 12w2 + 2w(-2 + 3w) = 2(3w + -2)(3w + 2)
8w + 12w2 + (-2 * 2w + 3w * 2w) = 2(3w + -2)(3w + 2)
8w + 12w2 + (-4w + 6w2) = 2(3w + -2)(3w + 2)

Reorder the terms:
8w + -4w + 12w2 + 6w2 = 2(3w + -2)(3w + 2)

Combine like terms: 8w + -4w = 4w
4w + 12w2 + 6w2 = 2(3w + -2)(3w + 2)

Combine like terms: 12w2 + 6w2 = 18w2
4w + 18w2 = 2(3w + -2)(3w + 2)

Reorder the terms:
4w + 18w2 = 2(-2 + 3w)(3w + 2)

Reorder the terms:
4w + 18w2 = 2(-2 + 3w)(2 + 3w)

Multiply (-2 + 3w) * (2 + 3w)
4w + 18w2 = 2(-2(2 + 3w) + 3w * (2 + 3w))
4w + 18w2 = 2((2 * -2 + 3w * -2) + 3w * (2 + 3w))
4w + 18w2 = 2((-4 + -6w) + 3w * (2 + 3w))
4w + 18w2 = 2(-4 + -6w + (2 * 3w + 3w * 3w))
4w + 18w2 = 2(-4 + -6w + (6w + 9w2))

Combine like terms: -6w + 6w = 0
4w + 18w2 = 2(-4 + 0 + 9w2)
4w + 18w2 = 2(-4 + 9w2)
4w + 18w2 = (-4 * 2 + 9w2 * 2)
4w + 18w2 = (-8 + 18w2)

Add '-18w2' to each side of the equation.
4w + 18w2 + -18w2 = -8 + 18w2 + -18w2

Combine like terms: 18w2 + -18w2 = 0
4w + 0 = -8 + 18w2 + -18w2
4w = -8 + 18w2 + -18w2

Combine like terms: 18w2 + -18w2 = 0
4w = -8 + 0
4w = -8

Solving
4w = -8

Solving for variable 'w'.

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

Divide each side by '4'.
w = -2

Simplifying
w = -2

See similar equations:

| 4x-3=6x-11 | | 4s-(13)=51 | | (4x^2/3)(5x^1/2) | | 6x^2+54x+132=0 | | 2x+24=7x+9 | | 0.3x=0.4x-0.5 | | 17x+-7=6 | | 40-8k=-8(k-5) | | 3.7b-(14.9)=36.9 | | 2x+1/3x=1 | | 5x+-5=10 | | 12/b=6/4 | | y=3(x+5)+35 | | 5b(b-3)=0 | | 2+36=10 | | 2(7x-8)+x= | | -x^2-4x+16=12 | | 2/3n+4=20 | | 9-x/4 | | 3.7b-14.9=36.9 | | 3-5f-7+3f=74 | | 1+3(2y-3)=-2(6y-2)+9y | | 18x+-12=2 | | 9w-16=20 | | 2x-2=2(x-3) | | (3x+7)2=25 | | 45+13u=97 | | m/5+3(M-1)/2=2M-6 | | 2(w-2)-7=-7(-3w+1)-5w | | y/(y-16)=5/3 | | 15x-5=4x-60 | | 2y+2=23+3y |

Equations solver categories