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Simplifying 6b4 + 7b2 + -3 = 0 Reorder the terms: -3 + 7b2 + 6b4 = 0 Solving -3 + 7b2 + 6b4 = 0 Solving for variable 'b'. Factor a trinomial. (-3 + -2b2)(1 + -3b2) = 0Subproblem 1
Set the factor '(-3 + -2b2)' equal to zero and attempt to solve: Simplifying -3 + -2b2 = 0 Solving -3 + -2b2 = 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 + -2b2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2b2 = 0 + 3 -2b2 = 0 + 3 Combine like terms: 0 + 3 = 3 -2b2 = 3 Divide each side by '-2'. b2 = -1.5 Simplifying b2 = -1.5 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 '(1 + -3b2)' equal to zero and attempt to solve: Simplifying 1 + -3b2 = 0 Solving 1 + -3b2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3b2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3b2 = 0 + -1 -3b2 = 0 + -1 Combine like terms: 0 + -1 = -1 -3b2 = -1 Divide each side by '-3'. b2 = 0.3333333333 Simplifying b2 = 0.3333333333 Take the square root of each side: b = {-0.577350269, 0.577350269}Solution
b = {-0.577350269, 0.577350269}
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