2w^9-20w^8-48w^7=

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Solution for 2w^9-20w^8-48w^7= equation: 


Simplifying
2w9 + -20w8 + -48w7 = 0

Reorder the terms:
-48w7 + -20w8 + 2w9 = 0

Solving
-48w7 + -20w8 + 2w9 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2w7'.
2w7(-24 + -10w + w2) = 0

Factor a trinomial.
2w7((-2 + -1w)(12 + -1w)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'w7' equal to zero and attempt to solve:

Simplifying
w7 = 0

Solving
w7 = 0

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

Simplifying
w7 = 0

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 '(-2 + -1w)' equal to zero and attempt to solve:

Simplifying
-2 + -1w = 0

Solving
-2 + -1w = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1w = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1w = 0 + 2
-1w = 0 + 2

Combine like terms: 0 + 2 = 2
-1w = 2

Divide each side by '-1'.
w = -2

Simplifying
w = -2

Subproblem 3
Set the factor '(12 + -1w)' equal to zero and attempt to solve:

Simplifying
12 + -1w = 0

Solving
12 + -1w = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1w = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1w = 0 + -12
-1w = 0 + -12

Combine like terms: 0 + -12 = -12
-1w = -12

Divide each side by '-1'.
w = 12

Simplifying
w = 12
Solution
w = {-2, 12}

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