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Simplifying 3y4 + -16y2 = 0 Reorder the terms: -16y2 + 3y4 = 0 Solving -16y2 + 3y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y2'. y2(-16 + 3y2) = 0Subproblem 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 '(-16 + 3y2)' equal to zero and attempt to solve: Simplifying -16 + 3y2 = 0 Solving -16 + 3y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 3y2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 3y2 = 0 + 16 3y2 = 0 + 16 Combine like terms: 0 + 16 = 16 3y2 = 16 Divide each side by '3'. y2 = 5.333333333 Simplifying y2 = 5.333333333 Take the square root of each side: y = {-2.309401077, 2.309401077}Solution
y = {0, -2.309401077, 2.309401077}
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