(6w)*(w-1)-(20)=0

Simple and best practice solution for (6w)*(w-1)-(20)=0 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 (6w)*(w-1)-(20)=0 equation: 


Simplifying
(6w)(w + -1) + -1(20) = 0

Remove parenthesis around (6w)
6w(w + -1) + -1(20) = 0

Reorder the terms:
6w(-1 + w) + -1(20) = 0
(-1 * 6w + w * 6w) + -1(20) = 0
(-6w + 6w2) + -1(20) = 0

Multiply -1 * 20
-6w + 6w2 + -20 = 0

Reorder the terms:
-20 + -6w + 6w2 = 0

Solving
-20 + -6w + 6w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + -3w + 3w2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-10 + -3w + 3w2)' equal to zero and attempt to solve:

Simplifying
-10 + -3w + 3w2 = 0

Solving
-10 + -3w + 3w2 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
-3.333333333 + -1w + w2 = 0

Move the constant term to the right:

Add '3.333333333' to each side of the equation.
-3.333333333 + -1w + 3.333333333 + w2 = 0 + 3.333333333

Reorder the terms:
-3.333333333 + 3.333333333 + -1w + w2 = 0 + 3.333333333

Combine like terms: -3.333333333 + 3.333333333 = 0.000000000
0.000000000 + -1w + w2 = 0 + 3.333333333
-1w + w2 = 0 + 3.333333333

Combine like terms: 0 + 3.333333333 = 3.333333333
-1w + w2 = 3.333333333

The w term is -1w.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1w + 0.25 + w2 = 3.333333333 + 0.25

Reorder the terms:
0.25 + -1w + w2 = 3.333333333 + 0.25

Combine like terms: 3.333333333 + 0.25 = 3.583333333
0.25 + -1w + w2 = 3.583333333

Factor a perfect square on the left side:
(w + -0.5)(w + -0.5) = 3.583333333

Calculate the square root of the right side: 1.892969449

Break this problem into two subproblems by setting 
(w + -0.5) equal to 1.892969449 and -1.892969449.


Subproblem 1
w + -0.5 = 1.892969449

Simplifying
w + -0.5 = 1.892969449

Reorder the terms:
-0.5 + w = 1.892969449

Solving
-0.5 + w = 1.892969449

Solving for variable 'w'.

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + w = 1.892969449 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + w = 1.892969449 + 0.5
w = 1.892969449 + 0.5

Combine like terms: 1.892969449 + 0.5 = 2.392969449
w = 2.392969449

Simplifying
w = 2.392969449


Subproblem 2
w + -0.5 = -1.892969449

Simplifying
w + -0.5 = -1.892969449

Reorder the terms:
-0.5 + w = -1.892969449

Solving
-0.5 + w = -1.892969449

Solving for variable 'w'.

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + w = -1.892969449 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + w = -1.892969449 + 0.5
w = -1.892969449 + 0.5

Combine like terms: -1.892969449 + 0.5 = -1.392969449
w = -1.392969449

Simplifying
w = -1.392969449


Solution
The solution to the problem is based on the solutions
from the subproblems.
w = {2.392969449, -1.392969449}
Solution
w = {2.392969449, -1.392969449}

See similar equations:

| Sin(3x+2)=cos(4x+10) | | 2-(4x)+8=18 | | x*3=16 | | 4ln(3x-2)=7 | | 6r^2-12r=18 | | w*5w*(W-1)=20 | | 6(3)+2=x | | x-10y=-69 | | X*(5w)*(W-1)=20 | | 323/646 | | -2+17=5x | | 2b-9=12b+10 | | 62/93 | | -3x-8y=9 | | 24+24=30 | | 22=3(u+8)-5u | | 18(x-5)^3(3x-4)^2/(30(3x-4)^5(x-5)^2 | | 204=2v-66 | | y^3-5y^2-35y=3y^2 | | d/9.7=0.8 | | X-(-23)=50 | | -e+9=14 | | 48x+10=0 | | -138+4g=150 | | 55x+45x=1000 | | 3x/x^3 | | b-1.6/3=-3 | | 2n+3n+6=4 | | 2x+50+8x+8=92 | | 36x^2-48x-20=36 | | 7x+10+x+5=21x | | 2x+50+8x+8= |

Equations solver categories