w^2(3w-5)=0

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Solution for w^2(3w-5)=0 equation: 


Simplifying
w2(3w + -5) = 0

Reorder the terms:
w2(-5 + 3w) = 0
(-5 * w2 + 3w * w2) = 0
(-5w2 + 3w3) = 0

Solving
-5w2 + 3w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'w2'.
w2(-5 + 3w) = 0


Subproblem 1
Set the factor 'w2' equal to zero and attempt to solve:

Simplifying
w2 = 0

Solving
w2 = 0

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

Simplifying
w2 = 0

Take the square root of each side:
w = {0}

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

Simplifying
-5 + 3w = 0

Solving
-5 + 3w = 0

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

Add '5' to each side of the equation.
-5 + 5 + 3w = 0 + 5

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

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

Divide each side by '3'.
w = 1.666666667

Simplifying
w = 1.666666667
Solution
w = {0, 1.666666667}

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