8w+3w(2-w)=

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Solution for 8w+3w(2-w)= equation: 


Simplifying
8w + 3w(2 + -1w) = 0
8w + (2 * 3w + -1w * 3w) = 0
8w + (6w + -3w2) = 0

Combine like terms: 8w + 6w = 14w
14w + -3w2 = 0

Solving
14w + -3w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'w'.
w(14 + -3w) = 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 '(14 + -3w)' equal to zero and attempt to solve:

Simplifying
14 + -3w = 0

Solving
14 + -3w = 0

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

Add '-14' to each side of the equation.
14 + -14 + -3w = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -3w = 0 + -14
-3w = 0 + -14

Combine like terms: 0 + -14 = -14
-3w = -14

Divide each side by '-3'.
w = 4.666666667

Simplifying
w = 4.666666667
Solution
w = {0, 4.666666667}

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