12y^4-10y^2=

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Solution for 12y^4-10y^2= equation:


Simplifying
12y4 + -10y2 = 0

Reorder the terms:
-10y2 + 12y4 = 0

Solving
-10y2 + 12y4 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y2'.
2y2(-5 + 6y2) = 0

Ignore the factor 2.

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 '(-5 + 6y2)' equal to zero and attempt to solve: Simplifying -5 + 6y2 = 0 Solving -5 + 6y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 6y2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 6y2 = 0 + 5 6y2 = 0 + 5 Combine like terms: 0 + 5 = 5 6y2 = 5 Divide each side by '6'. y2 = 0.8333333333 Simplifying y2 = 0.8333333333 Take the square root of each side: y = {-0.912870929, 0.912870929}

Solution

y = {0, -0.912870929, 0.912870929}

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