16z^4+24z^2w+9w^2=

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Solution for 16z^4+24z^2w+9w^2= equation: 


Simplifying
16z4 + 24z2w + 9w2 = 0

Reorder the terms:
24wz2 + 9w2 + 16z4 = 0

Solving
24wz2 + 9w2 + 16z4 = 0

Solving for variable 'w'.

Factor a trinomial.
(3w + 4z2)(3w + 4z2) = 0


Subproblem 1
Set the factor '(3w + 4z2)' equal to zero and attempt to solve:

Simplifying
3w + 4z2 = 0

Solving
3w + 4z2 = 0

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

Add '-4z2' to each side of the equation.
3w + 4z2 + -4z2 = 0 + -4z2

Combine like terms: 4z2 + -4z2 = 0
3w + 0 = 0 + -4z2
3w = 0 + -4z2
Remove the zero:
3w = -4z2

Divide each side by '3'.
w = -1.333333333z2

Simplifying
w = -1.333333333z2

Subproblem 2
Set the factor '(3w + 4z2)' equal to zero and attempt to solve:

Simplifying
3w + 4z2 = 0

Solving
3w + 4z2 = 0

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

Add '-4z2' to each side of the equation.
3w + 4z2 + -4z2 = 0 + -4z2

Combine like terms: 4z2 + -4z2 = 0
3w + 0 = 0 + -4z2
3w = 0 + -4z2
Remove the zero:
3w = -4z2

Divide each side by '3'.
w = -1.333333333z2

Simplifying
w = -1.333333333z2
Solution
w = {-1.333333333z2, -1.333333333z2}

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