5y^4-6y^2-8=

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Solution for 5y^4-6y^2-8= equation: 


Simplifying
5y4 + -6y2 + -8 = 0

Reorder the terms:
-8 + -6y2 + 5y4 = 0

Solving
-8 + -6y2 + 5y4 = 0

Solving for variable 'y'.

Factor a trinomial.
(-4 + -5y2)(2 + -1y2) = 0


Subproblem 1
Set the factor '(-4 + -5y2)' equal to zero and attempt to solve:

Simplifying
-4 + -5y2 = 0

Solving
-4 + -5y2 = 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 + -5y2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5y2 = 0 + 4
-5y2 = 0 + 4

Combine like terms: 0 + 4 = 4
-5y2 = 4

Divide each side by '-5'.
y2 = -0.8

Simplifying
y2 = -0.8

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 '(2 + -1y2)' equal to zero and attempt to solve:

Simplifying
2 + -1y2 = 0

Solving
2 + -1y2 = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1y2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y2 = 0 + -2
-1y2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1y2 = -2

Divide each side by '-1'.
y2 = 2

Simplifying
y2 = 2

Take the square root of each side:
y = {-1.414213562, 1.414213562}
Solution
y = {-1.414213562, 1.414213562}

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