y^2+2yz-15z^2=

Solution for y^2+2yz-15z^2= equation:

Simplifying
y2 + 2yz + -15z2 = 0

Reorder the terms:
2yz + y2 + -15z2 = 0

Solving
2yz + y2 + -15z2 = 0

Solving for variable 'y'.

Factor a trinomial.
(y + -3z)(y + 5z) = 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 '(y + 5z)' equal to zero and attempt to solve:

Simplifying
y + 5z = 0

Solving
y + 5z = 0

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

Add '-5z' to each side of the equation.
y + 5z + -5z = 0 + -5z

Combine like terms: 5z + -5z = 0
y + 0 = 0 + -5z
y = 0 + -5z
Remove the zero:
y = -5z

Simplifying
y = -5z
Solution
y = {3z, -5z}