16y^2+8yz-3z^2=0

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Solution for 16y^2+8yz-3z^2=0 equation: 


Simplifying
16y2 + 8yz + -3z2 = 0

Reorder the terms:
8yz + 16y2 + -3z2 = 0

Solving
8yz + 16y2 + -3z2 = 0

Solving for variable 'y'.

Factor a trinomial.
(4y + -1z)(4y + 3z) = 0


Subproblem 1
Set the factor '(4y + -1z)' equal to zero and attempt to solve:

Simplifying
4y + -1z = 0

Solving
4y + -1z = 0

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

Add 'z' to each side of the equation.
4y + -1z + z = 0 + z

Combine like terms: -1z + z = 0
4y + 0 = 0 + z
4y = 0 + z
Remove the zero:
4y = z

Divide each side by '4'.
y = 0.25z

Simplifying
y = 0.25z

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

Simplifying
4y + 3z = 0

Solving
4y + 3z = 0

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

Add '-3z' to each side of the equation.
4y + 3z + -3z = 0 + -3z

Combine like terms: 3z + -3z = 0
4y + 0 = 0 + -3z
4y = 0 + -3z
Remove the zero:
4y = -3z

Divide each side by '4'.
y = -0.75z

Simplifying
y = -0.75z
Solution
y = {0.25z, -0.75z}

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