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Simplifying 6y4 + 5y2 + -21 = 0 Reorder the terms: -21 + 5y2 + 6y4 = 0 Solving -21 + 5y2 + 6y4 = 0 Solving for variable 'y'. Factor a trinomial. (-7 + -3y2)(3 + -2y2) = 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 '(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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