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Simplifying -1y4 + 3y2 + 18 = 0 Reorder the terms: 18 + 3y2 + -1y4 = 0 Solving 18 + 3y2 + -1y4 = 0 Solving for variable 'y'. Factor a trinomial. (6 + -1y2)(3 + y2) = 0Subproblem 1
Set the factor '(6 + -1y2)' equal to zero and attempt to solve: Simplifying 6 + -1y2 = 0 Solving 6 + -1y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1y2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1y2 = 0 + -6 -1y2 = 0 + -6 Combine like terms: 0 + -6 = -6 -1y2 = -6 Divide each side by '-1'. y2 = 6 Simplifying y2 = 6 Take the square root of each side: y = {-2.449489743, 2.449489743}Subproblem 2
Set the factor '(3 + y2)' equal to zero and attempt to solve: Simplifying 3 + y2 = 0 Solving 3 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y2 = 0 + -3 y2 = 0 + -3 Combine like terms: 0 + -3 = -3 y2 = -3 Simplifying y2 = -3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
y = {-2.449489743, 2.449489743}
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