4y^2(y^2+3)=0

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Solution for 4y^2(y^2+3)=0 equation:


Simplifying
4y2(y2 + 3) = 0

Reorder the terms:
4y2(3 + y2) = 0
(3 * 4y2 + y2 * 4y2) = 0
(12y2 + 4y4) = 0

Solving
12y2 + 4y4 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4y2'.
4y2(3 + y2) = 0

Ignore the factor 4.

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 '(3 + y2)' equal to zero and attempt to solve: Simplifying 3 + y2 = 0 Solving 3 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y2 = 0 + -3 y2 = 0 + -3 Combine like terms: 0 + -3 = -3 y2 = -3 Simplifying y2 = -3 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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