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Simplifying y4 + 36y2 + -576 = 0 Reorder the terms: -576 + 36y2 + y4 = 0 Solving -576 + 36y2 + y4 = 0 Solving for variable 'y'. Factor a trinomial. (-48 + -1y2)(12 + -1y2) = 0Subproblem 1
Set the factor '(-48 + -1y2)' equal to zero and attempt to solve: Simplifying -48 + -1y2 = 0 Solving -48 + -1y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -1y2 = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -1y2 = 0 + 48 -1y2 = 0 + 48 Combine like terms: 0 + 48 = 48 -1y2 = 48 Divide each side by '-1'. y2 = -48 Simplifying y2 = -48 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 '(12 + -1y2)' equal to zero and attempt to solve: Simplifying 12 + -1y2 = 0 Solving 12 + -1y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1y2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1y2 = 0 + -12 -1y2 = 0 + -12 Combine like terms: 0 + -12 = -12 -1y2 = -12 Divide each side by '-1'. y2 = 12 Simplifying y2 = 12 Take the square root of each side: y = {-3.464101615, 3.464101615}Solution
y = {-3.464101615, 3.464101615}
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