(w-1)(w^5+w^4+w^3+w^2+w+1)=

Simple and best practice solution for (w-1)(w^5+w^4+w^3+w^2+w+1)= 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 (w-1)(w^5+w^4+w^3+w^2+w+1)= equation: 


Simplifying
(w + -1)(w5 + w4 + w3 + w2 + w + 1) = 0

Reorder the terms:
(-1 + w)(w5 + w4 + w3 + w2 + w + 1) = 0

Reorder the terms:
(-1 + w)(1 + w + w2 + w3 + w4 + w5) = 0

Multiply (-1 + w) * (1 + w + w2 + w3 + w4 + w5)
(-1(1 + w + w2 + w3 + w4 + w5) + w(1 + w + w2 + w3 + w4 + w5)) = 0
((1 * -1 + w * -1 + w2 * -1 + w3 * -1 + w4 * -1 + w5 * -1) + w(1 + w + w2 + w3 + w4 + w5)) = 0
((-1 + -1w + -1w2 + -1w3 + -1w4 + -1w5) + w(1 + w + w2 + w3 + w4 + w5)) = 0
(-1 + -1w + -1w2 + -1w3 + -1w4 + -1w5 + (1 * w + w * w + w2 * w + w3 * w + w4 * w + w5 * w)) = 0
(-1 + -1w + -1w2 + -1w3 + -1w4 + -1w5 + (1w + w2 + w3 + w4 + w5 + w6)) = 0

Reorder the terms:
(-1 + -1w + 1w + -1w2 + w2 + -1w3 + w3 + -1w4 + w4 + -1w5 + w5 + w6) = 0

Combine like terms: -1w + 1w = 0
(-1 + 0 + -1w2 + w2 + -1w3 + w3 + -1w4 + w4 + -1w5 + w5 + w6) = 0
(-1 + -1w2 + w2 + -1w3 + w3 + -1w4 + w4 + -1w5 + w5 + w6) = 0

Combine like terms: -1w2 + w2 = 0
(-1 + 0 + -1w3 + w3 + -1w4 + w4 + -1w5 + w5 + w6) = 0
(-1 + -1w3 + w3 + -1w4 + w4 + -1w5 + w5 + w6) = 0

Combine like terms: -1w3 + w3 = 0
(-1 + 0 + -1w4 + w4 + -1w5 + w5 + w6) = 0
(-1 + -1w4 + w4 + -1w5 + w5 + w6) = 0

Combine like terms: -1w4 + w4 = 0
(-1 + 0 + -1w5 + w5 + w6) = 0
(-1 + -1w5 + w5 + w6) = 0

Combine like terms: -1w5 + w5 = 0
(-1 + 0 + w6) = 0
(-1 + w6) = 0

Solving
-1 + w6 = 0

Solving for variable 'w'.

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

Add '1' to each side of the equation.
-1 + 1 + w6 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + w6 = 0 + 1
w6 = 0 + 1

Combine like terms: 0 + 1 = 1
w6 = 1

Simplifying
w6 = 1

Reorder the terms:
-1 + w6 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + w6 = 0

Factor a difference between two squares.
(1 + w3)(-1 + w3) = 0


Subproblem 1
Set the factor '(1 + w3)' equal to zero and attempt to solve:

Simplifying
1 + w3 = 0

Solving
1 + w3 = 0

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

Add '-1' to each side of the equation.
1 + -1 + w3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + w3 = 0 + -1
w3 = 0 + -1

Combine like terms: 0 + -1 = -1
w3 = -1

Simplifying
w3 = -1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-1 + w3)' equal to zero and attempt to solve:

Simplifying
-1 + w3 = 0

Solving
-1 + w3 = 0

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

Add '1' to each side of the equation.
-1 + 1 + w3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + w3 = 0 + 1
w3 = 0 + 1

Combine like terms: 0 + 1 = 1
w3 = 1

Simplifying
w3 = 1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| m-(-13)=8 | | 2(2x+10)=x+5(x-4)-2x | | -61+r=-10 | | 25=-11+4x | | 3x-x+17=37 | | s^2-28s-41=0 | | 3(5x+6)=48 | | 45-10x=-75 | | 5y-10y=15 | | 12x-6x+168=12x+90 | | (2r+1)(2r^2+1)= | | 6(5r-8)=10(3+3r) | | 4x+6-2x+9= | | x^2-24x+93=0 | | 5(0.10)+3(0.50)-t=2.12 | | k^2-16k=-39 | | 7b+12b=-(7+9b)+7(1+12b) | | -45=3x-12 | | u^2+4u-43=0 | | -16t+96t+12=152 | | 14*[3x-2(x+4)]=28 | | 300+0.10x=50000 | | z^2+12z=-11 | | 133=-6x+7x(x+18) | | 5-5y+4+2y= | | f^2+6f-17=0 | | 6x-27=-105 | | -x-5-3+3x= | | X-19.7=-17.61 | | -28=3x-4 | | 7=11c-4 | | 7x+6(x+3)=83 |

Equations solver categories