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Simplifying 4y4 = 18y2 Solving 4y4 = 18y2 Solving for variable 'y'. Reorder the terms: -18y2 + 4y4 = 18y2 + -18y2 Combine like terms: 18y2 + -18y2 = 0 -18y2 + 4y4 = 0 Factor out the Greatest Common Factor (GCF), '2y2'. 2y2(-9 + 2y2) = 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 '(-9 + 2y2)' equal to zero and attempt to solve: Simplifying -9 + 2y2 = 0 Solving -9 + 2y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2y2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2y2 = 0 + 9 2y2 = 0 + 9 Combine like terms: 0 + 9 = 9 2y2 = 9 Divide each side by '2'. y2 = 4.5 Simplifying y2 = 4.5 Take the square root of each side: y = {-2.121320344, 2.121320344}Solution
y = {0, -2.121320344, 2.121320344}
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