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Simplifying 27y4 + 60y2 = 7 Reorder the terms: 60y2 + 27y4 = 7 Solving 60y2 + 27y4 = 7 Solving for variable 'y'. Reorder the terms: -7 + 60y2 + 27y4 = 7 + -7 Combine like terms: 7 + -7 = 0 -7 + 60y2 + 27y4 = 0 Factor a trinomial. (-7 + -3y2)(1 + -9y2) = 0 Factor a difference between two squares. (-7 + -3y2)((1 + 3y)(1 + -3y)) = 0Subproblem 1
Set the factor '(-7 + -3y2)' equal to zero and attempt to solve: Simplifying -7 + -3y2 = 0 Solving -7 + -3y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3y2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3y2 = 0 + 7 -3y2 = 0 + 7 Combine like terms: 0 + 7 = 7 -3y2 = 7 Divide each side by '-3'. y2 = -2.333333333 Simplifying y2 = -2.333333333 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 + 3y)' equal to zero and attempt to solve: Simplifying 1 + 3y = 0 Solving 1 + 3y = 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 + 3y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3y = 0 + -1 3y = 0 + -1 Combine like terms: 0 + -1 = -1 3y = -1 Divide each side by '3'. y = -0.3333333333 Simplifying y = -0.3333333333Subproblem 3
Set the factor '(1 + -3y)' equal to zero and attempt to solve: Simplifying 1 + -3y = 0 Solving 1 + -3y = 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 + -3y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3y = 0 + -1 -3y = 0 + -1 Combine like terms: 0 + -1 = -1 -3y = -1 Divide each side by '-3'. y = 0.3333333333 Simplifying y = 0.3333333333Solution
y = {-0.3333333333, 0.3333333333}
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