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Simplifying 8y4 + -6y2 + -9 = 0 Reorder the terms: -9 + -6y2 + 8y4 = 0 Solving -9 + -6y2 + 8y4 = 0 Solving for variable 'y'. Factor a trinomial. (-3 + -4y2)(3 + -2y2) = 0Subproblem 1
Set the factor '(-3 + -4y2)' equal to zero and attempt to solve: Simplifying -3 + -4y2 = 0 Solving -3 + -4y2 = 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 + -4y2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4y2 = 0 + 3 -4y2 = 0 + 3 Combine like terms: 0 + 3 = 3 -4y2 = 3 Divide each side by '-4'. y2 = -0.75 Simplifying y2 = -0.75 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 '(3 + -2y2)' equal to zero and attempt to solve: Simplifying 3 + -2y2 = 0 Solving 3 + -2y2 = 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 + -2y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2y2 = 0 + -3 -2y2 = 0 + -3 Combine like terms: 0 + -3 = -3 -2y2 = -3 Divide each side by '-2'. y2 = 1.5 Simplifying y2 = 1.5 Take the square root of each side: y = {-1.224744871, 1.224744871}Solution
y = {-1.224744871, 1.224744871}
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