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Simplifying 8y4 + 42y2 + -11 = 0 Reorder the terms: -11 + 42y2 + 8y4 = 0 Solving -11 + 42y2 + 8y4 = 0 Solving for variable 'y'. Factor a trinomial. (-11 + -2y2)(1 + -4y2) = 0 Factor a difference between two squares. (-11 + -2y2)((1 + 2y)(1 + -2y)) = 0Subproblem 1
Set the factor '(-11 + -2y2)' equal to zero and attempt to solve: Simplifying -11 + -2y2 = 0 Solving -11 + -2y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -2y2 = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2y2 = 0 + 11 -2y2 = 0 + 11 Combine like terms: 0 + 11 = 11 -2y2 = 11 Divide each side by '-2'. y2 = -5.5 Simplifying y2 = -5.5 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 + 2y)' equal to zero and attempt to solve: Simplifying 1 + 2y = 0 Solving 1 + 2y = 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 + 2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2y = 0 + -1 2y = 0 + -1 Combine like terms: 0 + -1 = -1 2y = -1 Divide each side by '2'. y = -0.5 Simplifying y = -0.5Subproblem 3
Set the factor '(1 + -2y)' equal to zero and attempt to solve: Simplifying 1 + -2y = 0 Solving 1 + -2y = 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 + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 0 + -1 -2y = 0 + -1 Combine like terms: 0 + -1 = -1 -2y = -1 Divide each side by '-2'. y = 0.5 Simplifying y = 0.5Solution
y = {-0.5, 0.5}
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