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Simplifying y4 + -30y2 = 0 Reorder the terms: -30y2 + y4 = 0 Solving -30y2 + y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y2'. y2(-30 + y2) = 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 '(-30 + y2)' equal to zero and attempt to solve: Simplifying -30 + y2 = 0 Solving -30 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + y2 = 0 + 30 Combine like terms: -30 + 30 = 0 0 + y2 = 0 + 30 y2 = 0 + 30 Combine like terms: 0 + 30 = 30 y2 = 30 Simplifying y2 = 30 Take the square root of each side: y = {-5.477225575, 5.477225575}Solution
y = {0, -5.477225575, 5.477225575}
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