10w^7+26w^6+12w^5=

Solution for 10w^7+26w^6+12w^5= equation:

Simplifying
10w7 + 26w6 + 12w5 = 0

Reorder the terms:
12w5 + 26w6 + 10w7 = 0

Solving
12w5 + 26w6 + 10w7 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2w5'.
2w5(6 + 13w + 5w2) = 0

Factor a trinomial.
2w5((2 + w)(3 + 5w)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'w5' equal to zero and attempt to solve:

Simplifying
w5 = 0

Solving
w5 = 0

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

Simplifying
w5 = 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 + w)' equal to zero and attempt to solve:

Simplifying
2 + w = 0

Solving
2 + w = 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 + w = 0 + -2

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

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

Simplifying
w = -2
Subproblem 3
Set the factor '(3 + 5w)' equal to zero and attempt to solve:

Simplifying
3 + 5w = 0

Solving
3 + 5w = 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 + 5w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5w = 0 + -3
5w = 0 + -3

Combine like terms: 0 + -3 = -3
5w = -3

Divide each side by '5'.
w = -0.6

Simplifying
w = -0.6
Solution
w = {-2, -0.6}