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Simplifying 61y4 + -36y2 = 0 Reorder the terms: -36y2 + 61y4 = 0 Solving -36y2 + 61y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y2'. y2(-36 + 61y2) = 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 '(-36 + 61y2)' equal to zero and attempt to solve: Simplifying -36 + 61y2 = 0 Solving -36 + 61y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 61y2 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 61y2 = 0 + 36 61y2 = 0 + 36 Combine like terms: 0 + 36 = 36 61y2 = 36 Divide each side by '61'. y2 = 0.5901639344 Simplifying y2 = 0.5901639344 Take the square root of each side: y = {-0.76822128, 0.76822128}Solution
y = {0, -0.76822128, 0.76822128}
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