Y^4-16y^2=0

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Solution for Y^4-16y^2=0 equation:


Simplifying
Y4 + -16y2 = 0

Solving
Y4 + -16y2 = 0

Solving for variable 'Y'.

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

Add '16y2' to each side of the equation.
Y4 + -16y2 + 16y2 = 0 + 16y2

Combine like terms: -16y2 + 16y2 = 0
Y4 + 0 = 0 + 16y2
Y4 = 0 + 16y2
Remove the zero:
Y4 = 16y2

Simplifying
Y4 = 16y2

Combine like terms: 16y2 + -16y2 = 0
Y4 + -16y2 = 0

Factor a difference between two squares.
(Y2 + 4y)(Y2 + -4y) = 0

Subproblem 1

Set the factor '(Y2 + 4y)' equal to zero and attempt to solve: Simplifying Y2 + 4y = 0 Solving Y2 + 4y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-4y' to each side of the equation. Y2 + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 Y2 + 0 = 0 + -4y Y2 = 0 + -4y Remove the zero: Y2 = -4y Simplifying Y2 = -4y 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 + -4y)' equal to zero and attempt to solve: Simplifying Y2 + -4y = 0 Solving Y2 + -4y = 0 Move all terms containing Y to the left, all other terms to the right. Add '4y' to each side of the equation. Y2 + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 Y2 + 0 = 0 + 4y Y2 = 0 + 4y Remove the zero: Y2 = 4y Simplifying Y2 = 4y 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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