3w(-2+5w)=

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


Simplifying
3w(-2 + 5w) = 0
(-2 * 3w + 5w * 3w) = 0
(-6w + 15w2) = 0

Solving
-6w + 15w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '3w'.
3w(-2 + 5w) = 0

Ignore the factor 3.

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 + 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
Solution
w = {0, 0.4}

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