3w(3w+16)=-64

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Solution for 3w(3w+16)=-64 equation: 


Simplifying
3w(3w + 16) = -64

Reorder the terms:
3w(16 + 3w) = -64
(16 * 3w + 3w * 3w) = -64
(48w + 9w2) = -64

Solving
48w + 9w2 = -64

Solving for variable 'w'.

Reorder the terms:
64 + 48w + 9w2 = -64 + 64

Combine like terms: -64 + 64 = 0
64 + 48w + 9w2 = 0

Factor a trinomial.
(8 + 3w)(8 + 3w) = 0


Subproblem 1
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

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 = {-2.666666667, -2.666666667}

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