w(6w+w-2)=0

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Solution for w(6w+w-2)=0 equation: 


Simplifying
w(6w + w + -2) = 0

Reorder the terms:
w(-2 + 6w + w) = 0

Combine like terms: 6w + w = 7w
w(-2 + 7w) = 0
(-2 * w + 7w * w) = 0
(-2w + 7w2) = 0

Solving
-2w + 7w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'w'.
w(-2 + 7w) = 0


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

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0

Subproblem 2
Set the factor '(-2 + 7w)' equal to zero and attempt to solve:

Simplifying
-2 + 7w = 0

Solving
-2 + 7w = 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 + 7w = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 7w = 0 + 2
7w = 0 + 2

Combine like terms: 0 + 2 = 2
7w = 2

Divide each side by '7'.
w = 0.2857142857

Simplifying
w = 0.2857142857
Solution
w = {0, 0.2857142857}

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