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Simplifying 9y4 + 12y2 + -5 = 0 Reorder the terms: -5 + 12y2 + 9y4 = 0 Solving -5 + 12y2 + 9y4 = 0 Solving for variable 'y'. Factor a trinomial. (-5 + -3y2)(1 + -3y2) = 0Subproblem 1
Set the factor '(-5 + -3y2)' equal to zero and attempt to solve: Simplifying -5 + -3y2 = 0 Solving -5 + -3y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3y2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3y2 = 0 + 5 -3y2 = 0 + 5 Combine like terms: 0 + 5 = 5 -3y2 = 5 Divide each side by '-3'. y2 = -1.666666667 Simplifying y2 = -1.666666667 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + -3y2)' equal to zero and attempt to solve: Simplifying 1 + -3y2 = 0 Solving 1 + -3y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3y2 = 0 + -1 -3y2 = 0 + -1 Combine like terms: 0 + -1 = -1 -3y2 = -1 Divide each side by '-3'. y2 = 0.3333333333 Simplifying y2 = 0.3333333333 Take the square root of each side: y = {-0.577350269, 0.577350269}Solution
y = {-0.577350269, 0.577350269}
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