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Simplifying -20y4 + 31y2 + -12y2 = 0 Reorder the terms: 31y2 + -12y2 + -20y4 = 0 Combine like terms: 31y2 + -12y2 = 19y2 19y2 + -20y4 = 0 Solving 19y2 + -20y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y2'. y2(19 + -20y2) = 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 '(19 + -20y2)' equal to zero and attempt to solve: Simplifying 19 + -20y2 = 0 Solving 19 + -20y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -20y2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -20y2 = 0 + -19 -20y2 = 0 + -19 Combine like terms: 0 + -19 = -19 -20y2 = -19 Divide each side by '-20'. y2 = 0.95 Simplifying y2 = 0.95 Take the square root of each side: y = {-0.974679434, 0.974679434}Solution
y = {0, -0.974679434, 0.974679434}
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