3y^2-yz-24z^2=

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Solution for 3y^2-yz-24z^2= equation: 


Simplifying
3y2 + -1yz + -24z2 = 0

Reorder the terms:
-1yz + 3y2 + -24z2 = 0

Solving
-1yz + 3y2 + -24z2 = 0

Solving for variable 'y'.

Factor a trinomial.
(y + -3z)(3y + 8z) = 0


Subproblem 1
Set the factor '(y + -3z)' equal to zero and attempt to solve:

Simplifying
y + -3z = 0

Solving
y + -3z = 0

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

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

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

Simplifying
y = 3z

Subproblem 2
Set the factor '(3y + 8z)' equal to zero and attempt to solve:

Simplifying
3y + 8z = 0

Solving
3y + 8z = 0

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

Add '-8z' to each side of the equation.
3y + 8z + -8z = 0 + -8z

Combine like terms: 8z + -8z = 0
3y + 0 = 0 + -8z
3y = 0 + -8z
Remove the zero:
3y = -8z

Divide each side by '3'.
y = -2.666666667z

Simplifying
y = -2.666666667z
Solution
y = {3z, -2.666666667z}

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