39=(w-2)*(3w-2)

Simple and best practice solution for 39=(w-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 39=(w-2)*(3w-2) equation: 


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

Reorder the terms:
39 = (-2 + w)(3w + -2)

Reorder the terms:
39 = (-2 + w)(-2 + 3w)

Multiply (-2 + w) * (-2 + 3w)
39 = (-2(-2 + 3w) + w(-2 + 3w))
39 = ((-2 * -2 + 3w * -2) + w(-2 + 3w))
39 = ((4 + -6w) + w(-2 + 3w))
39 = (4 + -6w + (-2 * w + 3w * w))
39 = (4 + -6w + (-2w + 3w2))

Combine like terms: -6w + -2w = -8w
39 = (4 + -8w + 3w2)

Solving
39 = 4 + -8w + 3w2

Solving for variable 'w'.

Combine like terms: 39 + -4 = 35
35 + 8w + -3w2 = 4 + -8w + 3w2 + -4 + 8w + -3w2

Reorder the terms:
35 + 8w + -3w2 = 4 + -4 + -8w + 8w + 3w2 + -3w2

Combine like terms: 4 + -4 = 0
35 + 8w + -3w2 = 0 + -8w + 8w + 3w2 + -3w2
35 + 8w + -3w2 = -8w + 8w + 3w2 + -3w2

Combine like terms: -8w + 8w = 0
35 + 8w + -3w2 = 0 + 3w2 + -3w2
35 + 8w + -3w2 = 3w2 + -3w2

Combine like terms: 3w2 + -3w2 = 0
35 + 8w + -3w2 = 0

Factor a trinomial.
(5 + -1w)(7 + 3w) = 0


Subproblem 1
Set the factor '(5 + -1w)' equal to zero and attempt to solve:

Simplifying
5 + -1w = 0

Solving
5 + -1w = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1w = 0 + -5
-1w = 0 + -5

Combine like terms: 0 + -5 = -5
-1w = -5

Divide each side by '-1'.
w = 5

Simplifying
w = 5

Subproblem 2
Set the factor '(7 + 3w)' equal to zero and attempt to solve:

Simplifying
7 + 3w = 0

Solving
7 + 3w = 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 + 3w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3w = 0 + -7
3w = 0 + -7

Combine like terms: 0 + -7 = -7
3w = -7

Divide each side by '3'.
w = -2.333333333

Simplifying
w = -2.333333333
Solution
w = {5, -2.333333333}

See similar equations:

| 88-18=16/3(h-6) | | 320=10(-10x-18) | | (x/0.33)+15=x-17 | | 12m-8=4m+15 | | x7/2+5=8 | | Log(x+2)=1 | | 2(4x-9)=5x(x-4) | | -10+18=98 | | 8x-3x=15 | | x^3+0x^2-5x+2=0 | | 21b-15a=0 | | 11x-3x=-10 | | 14+16x=18x+6 | | (x/3)+15=y-17 | | xy-7y+7y+49=0 | | 3x-5x+4=(3-5)x+4 | | 7/2+5=8 | | 5=-5m+4 | | 10a-3b-(9b-7a)= | | 5w=65 | | 6+3y=24 | | p-18=16/3(20-6) | | y^2=-36 | | 3z-(4-z)-4=20 | | 98/2 | | p-18=16/3(18-6) | | 16t^2+76t+5=12t+5 | | (DX^3-5DX^2*DY+5DX*DY^2+3DY^3)Z=0 | | 6x^2-15x+2=2x^2+10x-4 | | 180/5 | | x+4x-10=180 | | y-10=x-2 |

Equations solver categories