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

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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 + -5w)(3 + -1w)) = 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 + -5w)' equal to zero and attempt to solve: Simplifying -2 + -5w = 0 Solving -2 + -5w = 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 + -5w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5w = 0 + 2 -5w = 0 + 2 Combine like terms: 0 + 2 = 2 -5w = 2 Divide each side by '-5'. w = -0.4 Simplifying w = -0.4

Subproblem 3

Set the factor '(3 + -1w)' equal to zero and attempt to solve: Simplifying 3 + -1w = 0 Solving 3 + -1w = 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 + -1w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1w = 0 + -3 -1w = 0 + -3 Combine like terms: 0 + -3 = -3 -1w = -3 Divide each side by '-1'. w = 3 Simplifying w = 3

Solution

w = {-0.4, 3}

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