6w^2-23w+7w=0

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Solution for 6w^2-23w+7w=0 equation: 


Simplifying
6w2 + -23w + 7w = 0

Reorder the terms:
-23w + 7w + 6w2 = 0

Combine like terms: -23w + 7w = -16w
-16w + 6w2 = 0

Solving
-16w + 6w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2w'.
2w(-8 + 3w) = 0

Ignore the factor 2.

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 '(-8 + 3w)' equal to zero and attempt to solve:

Simplifying
-8 + 3w = 0

Solving
-8 + 3w = 0

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

Add '8' to each side of the equation.
-8 + 8 + 3w = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 3w = 0 + 8
3w = 0 + 8

Combine like terms: 0 + 8 = 8
3w = 8

Divide each side by '3'.
w = 2.666666667

Simplifying
w = 2.666666667
Solution
w = {0, 2.666666667}

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