12w(2w-3)=6w

Simple and best practice solution for 12w(2w-3)=6w 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 12w(2w-3)=6w equation: 


Simplifying
12w(2w + -3) = 6w

Reorder the terms:
12w(-3 + 2w) = 6w
(-3 * 12w + 2w * 12w) = 6w
(-36w + 24w2) = 6w

Solving
-36w + 24w2 = 6w

Solving for variable 'w'.

Reorder the terms:
-36w + -6w + 24w2 = 6w + -6w

Combine like terms: -36w + -6w = -42w
-42w + 24w2 = 6w + -6w

Combine like terms: 6w + -6w = 0
-42w + 24w2 = 0

Factor out the Greatest Common Factor (GCF), '6w'.
6w(-7 + 4w) = 0

Ignore the factor 6.

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 '(-7 + 4w)' equal to zero and attempt to solve:

Simplifying
-7 + 4w = 0

Solving
-7 + 4w = 0

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

Add '7' to each side of the equation.
-7 + 7 + 4w = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 4w = 0 + 7
4w = 0 + 7

Combine like terms: 0 + 7 = 7
4w = 7

Divide each side by '4'.
w = 1.75

Simplifying
w = 1.75
Solution
w = {0, 1.75}

See similar equations:

| 3x+7=2(4x-5) | | 2y-2+4+6=22 | | 7/16+3/16 | | 200+0.25x=437.50 | | 4(x-6)=-5+4x | | 15h=140 | | 90x-36y+90= | | n=0.125+-0.375(-2) | | 95-(4x+8)=4(x+6)+x | | 9x-(-4+3x)=20 | | 5x+12=2x+28 | | 7x+-5=30 | | 5x^2-9x=990 | | 2x+56-87-53=9000 | | 35h=220 | | 200x+0.25=437.50 | | J+(J-1.91)=77.87 | | 2(-1.5-1.2y)=-7+1.6y | | 6x+7=2x-9 | | 15-5(4x-7)=-50 | | 5/6x+3-4/6x=6 | | 22+5x=-4x-13 | | 1x-2y=4 | | 1-4n-8=1-3n+n | | -3x+9=-4+5 | | Y^7/y^-5 | | 13x-4x=8x+5 | | 5s-2+3(s+-11)=5 | | (X-1)(x+5)=x^2 | | 5x-6=21+2x | | a^2/a-1 | | p+90=1/2 |

Equations solver categories