(3w-8)4(2w+3)=

Simple and best practice solution for (3w-8)4(2w+3)= 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-8)4(2w+3)= equation: 


Simplifying
(3w + -8) * 4(2w + 3) = 0

Reorder the terms:
(-8 + 3w) * 4(2w + 3) = 0

Reorder the terms:
(-8 + 3w) * 4(3 + 2w) = 0

Reorder the terms for easier multiplication:
4(-8 + 3w)(3 + 2w) = 0

Multiply (-8 + 3w) * (3 + 2w)
4(-8(3 + 2w) + 3w * (3 + 2w)) = 0
4((3 * -8 + 2w * -8) + 3w * (3 + 2w)) = 0
4((-24 + -16w) + 3w * (3 + 2w)) = 0
4(-24 + -16w + (3 * 3w + 2w * 3w)) = 0
4(-24 + -16w + (9w + 6w2)) = 0

Combine like terms: -16w + 9w = -7w
4(-24 + -7w + 6w2) = 0
(-24 * 4 + -7w * 4 + 6w2 * 4) = 0
(-96 + -28w + 24w2) = 0

Solving
-96 + -28w + 24w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-24 + -7w + 6w2) = 0

Factor a trinomial.
4((-3 + -2w)(8 + -3w)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-3 + -2w)' equal to zero and attempt to solve:

Simplifying
-3 + -2w = 0

Solving
-3 + -2w = 0

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

Add '3' to each side of the equation.
-3 + 3 + -2w = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2w = 0 + 3
-2w = 0 + 3

Combine like terms: 0 + 3 = 3
-2w = 3

Divide each side by '-2'.
w = -1.5

Simplifying
w = -1.5

Subproblem 2
Set the factor '(8 + -3w)' equal to zero and attempt to solve:

Simplifying
8 + -3w = 0

Solving
8 + -3w = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3w = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3w = 0 + -8
-3w = 0 + -8

Combine like terms: 0 + -8 = -8
-3w = -8

Divide each side by '-3'.
w = 2.666666667

Simplifying
w = 2.666666667
Solution
w = {-1.5, 2.666666667}

See similar equations:

| =5+0.4(X+30)+-0.03(X+30)(X+20)+(X+30)(X+20)X+(X+30)(X+20)X(X+-10) | | -12=5v+8 | | 35=8-9w | | -4b+9=5-4 | | 12=9=(4/9m)-(1/9m) | | 83X+36Y-2916=0 | | log_(a)49=(2)/(3) | | (-5+4i)-(5+4i)= | | -4+3s=-1 | | h-/7.8=2 | | 3x+15+(11x-5)=94 | | 2X+2X-(4X-1-9X)=6X-1 | | 6x+3x+x=240 | | y/7=3/28 | | 1/2(64-6×9) | | -7(x+6)+5(2x+1)=0 | | 3x^2-8=7-2x^2 | | 9x-15=44 | | Y=5+0.4(X+30)-0.03(X+30)(X+20) | | 10x-15=6-9x | | 25X+169Y+150X+388Y-3831=0 | | 1/2=6/q | | 4+r=13 | | -2r-6=14 | | 9x+19=-11 | | -2.8(5z-7)-1.2z= | | 4/6=q/12 | | N/4=30/20 | | -2y+4=3(y-7) | | 3ab2-d3/a | | -2(3x-10)=-16 | | 2a+3b-4c-2(3a+6b-8c)+3(4a-6c)+5a= |

Equations solver categories