3y^4-14y^2-24=

Solution for 3y^4-14y^2-24= equation:

Simplifying
3y4 + -14y2 + -24 = 0

Reorder the terms:
-24 + -14y2 + 3y4 = 0

Solving
-24 + -14y2 + 3y4 = 0

Solving for variable 'y'.

Factor a trinomial.
(-4 + -3y2)(6 + -1y2) = 0

Subproblem 1
Set the factor '(-4 + -3y2)' equal to zero and attempt to solve:

Simplifying
-4 + -3y2 = 0

Solving
-4 + -3y2 = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3y2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3y2 = 0 + 4
-3y2 = 0 + 4

Combine like terms: 0 + 4 = 4
-3y2 = 4

Divide each side by '-3'.
y2 = -1.333333333

Simplifying
y2 = -1.333333333

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(6 + -1y2)' equal to zero and attempt to solve:

Simplifying
6 + -1y2 = 0

Solving
6 + -1y2 = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1y2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1y2 = 0 + -6
-1y2 = 0 + -6

Combine like terms: 0 + -6 = -6
-1y2 = -6

Divide each side by '-1'.
y2 = 6

Simplifying
y2 = 6

Take the square root of each side:
y = {-2.449489743, 2.449489743}
Solution
y = {-2.449489743, 2.449489743}