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Simplifying (9y2 + 5y4) + (-6y4 + 11y2) = 0 Remove parenthesis around (9y2 + 5y4) 9y2 + 5y4 + (-6y4 + 11y2) = 0 Reorder the terms: 9y2 + 5y4 + (11y2 + -6y4) = 0 Remove parenthesis around (11y2 + -6y4) 9y2 + 5y4 + 11y2 + -6y4 = 0 Reorder the terms: 9y2 + 11y2 + 5y4 + -6y4 = 0 Combine like terms: 9y2 + 11y2 = 20y2 20y2 + 5y4 + -6y4 = 0 Combine like terms: 5y4 + -6y4 = -1y4 20y2 + -1y4 = 0 Solving 20y2 + -1y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y2'. y2(20 + -1y2) = 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 '(20 + -1y2)' equal to zero and attempt to solve: Simplifying 20 + -1y2 = 0 Solving 20 + -1y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1y2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1y2 = 0 + -20 -1y2 = 0 + -20 Combine like terms: 0 + -20 = -20 -1y2 = -20 Divide each side by '-1'. y2 = 20 Simplifying y2 = 20 Take the square root of each side: y = {-4.472135955, 4.472135955}Solution
y = {0, -4.472135955, 4.472135955}
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