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Simplifying 6y4 + -5y2 + -4 = 0 Reorder the terms: -4 + -5y2 + 6y4 = 0 Solving -4 + -5y2 + 6y4 = 0 Solving for variable 'y'. Factor a trinomial. (-1 + -2y2)(4 + -3y2) = 0Subproblem 1
Set the factor '(-1 + -2y2)' equal to zero and attempt to solve: Simplifying -1 + -2y2 = 0 Solving -1 + -2y2 = 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 + -2y2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2y2 = 0 + 1 -2y2 = 0 + 1 Combine like terms: 0 + 1 = 1 -2y2 = 1 Divide each side by '-2'. y2 = -0.5 Simplifying y2 = -0.5 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 '(4 + -3y2)' equal to zero and attempt to solve: Simplifying 4 + -3y2 = 0 Solving 4 + -3y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3y2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3y2 = 0 + -4 -3y2 = 0 + -4 Combine like terms: 0 + -4 = -4 -3y2 = -4 Divide each side by '-3'. y2 = 1.333333333 Simplifying y2 = 1.333333333 Take the square root of each side: y = {-1.154700538, 1.154700538}Solution
y = {-1.154700538, 1.154700538}
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