y^4+4y^2=0

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Solution for y^4+4y^2=0 equation:


Simplifying
y4 + 4y2 = 0

Reorder the terms:
4y2 + y4 = 0

Solving
4y2 + y4 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y2'.
y2(4 + y2) = 0

Subproblem 1

Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}

Subproblem 2

Set the factor '(4 + y2)' equal to zero and attempt to solve: Simplifying 4 + y2 = 0 Solving 4 + y2 = 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 + y2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y2 = 0 + -4 y2 = 0 + -4 Combine like terms: 0 + -4 = -4 y2 = -4 Simplifying y2 = -4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

y = {0}

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