Y^4-7y^2-18y^2=0

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Solution for Y^4-7y^2-18y^2=0 equation: 


Simplifying
Y4 + -7y2 + -18y2 = 0

Combine like terms: -7y2 + -18y2 = -25y2
Y4 + -25y2 = 0

Solving
Y4 + -25y2 = 0

Solving for variable 'Y'.

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

Add '25y2' to each side of the equation.
Y4 + -25y2 + 25y2 = 0 + 25y2

Combine like terms: -25y2 + 25y2 = 0
Y4 + 0 = 0 + 25y2
Y4 = 0 + 25y2
Remove the zero:
Y4 = 25y2

Simplifying
Y4 = 25y2

Combine like terms: 25y2 + -25y2 = 0
Y4 + -25y2 = 0

Factor a difference between two squares.
(Y2 + 5y)(Y2 + -5y) = 0


Subproblem 1
Set the factor '(Y2 + 5y)' equal to zero and attempt to solve:

Simplifying
Y2 + 5y = 0

Solving
Y2 + 5y = 0

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

Add '-5y' to each side of the equation.
Y2 + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
Y2 + 0 = 0 + -5y
Y2 = 0 + -5y
Remove the zero:
Y2 = -5y

Simplifying
Y2 = -5y

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 '(Y2 + -5y)' equal to zero and attempt to solve:

Simplifying
Y2 + -5y = 0

Solving
Y2 + -5y = 0

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

Add '5y' to each side of the equation.
Y2 + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
Y2 + 0 = 0 + 5y
Y2 = 0 + 5y
Remove the zero:
Y2 = 5y

Simplifying
Y2 = 5y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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