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Simplifying 12b4 + -11b2 + -36 = 0 Reorder the terms: -36 + -11b2 + 12b4 = 0 Solving -36 + -11b2 + 12b4 = 0 Solving for variable 'b'. Factor a trinomial. (-4 + -3b2)(9 + -4b2) = 0 Factor a difference between two squares. (-4 + -3b2)((3 + 2b)(3 + -2b)) = 0Subproblem 1
Set the factor '(-4 + -3b2)' equal to zero and attempt to solve: Simplifying -4 + -3b2 = 0 Solving -4 + -3b2 = 0 Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3b2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3b2 = 0 + 4 -3b2 = 0 + 4 Combine like terms: 0 + 4 = 4 -3b2 = 4 Divide each side by '-3'. b2 = -1.333333333 Simplifying b2 = -1.333333333 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 + 2b)' equal to zero and attempt to solve: Simplifying 3 + 2b = 0 Solving 3 + 2b = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2b = 0 + -3 2b = 0 + -3 Combine like terms: 0 + -3 = -3 2b = -3 Divide each side by '2'. b = -1.5 Simplifying b = -1.5Subproblem 3
Set the factor '(3 + -2b)' equal to zero and attempt to solve: Simplifying 3 + -2b = 0 Solving 3 + -2b = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2b = 0 + -3 -2b = 0 + -3 Combine like terms: 0 + -3 = -3 -2b = -3 Divide each side by '-2'. b = 1.5 Simplifying b = 1.5Solution
b = {-1.5, 1.5}
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