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Simplifying b4 + -2b2 + -288 = 0 Reorder the terms: -288 + -2b2 + b4 = 0 Solving -288 + -2b2 + b4 = 0 Solving for variable 'b'. Factor a trinomial. (-16 + -1b2)(18 + -1b2) = 0Subproblem 1
Set the factor '(-16 + -1b2)' equal to zero and attempt to solve: Simplifying -16 + -1b2 = 0 Solving -16 + -1b2 = 0 Move all terms containing b to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1b2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1b2 = 0 + 16 -1b2 = 0 + 16 Combine like terms: 0 + 16 = 16 -1b2 = 16 Divide each side by '-1'. b2 = -16 Simplifying b2 = -16 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 '(18 + -1b2)' equal to zero and attempt to solve: Simplifying 18 + -1b2 = 0 Solving 18 + -1b2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1b2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1b2 = 0 + -18 -1b2 = 0 + -18 Combine like terms: 0 + -18 = -18 -1b2 = -18 Divide each side by '-1'. b2 = 18 Simplifying b2 = 18 Take the square root of each side: b = {-4.242640687, 4.242640687}Solution
b = {-4.242640687, 4.242640687}
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