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Simplifying 36b6 + -1b2 = 0 Reorder the terms: -1b2 + 36b6 = 0 Solving -1b2 + 36b6 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b2'. b2(-1 + 36b4) = 0 Factor a difference between two squares. b2((1 + 6b2)(-1 + 6b2)) = 0Subproblem 1
Set the factor 'b2' equal to zero and attempt to solve: Simplifying b2 = 0 Solving b2 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b2 = 0 Take the square root of each side: b = {0}Subproblem 2
Set the factor '(1 + 6b2)' equal to zero and attempt to solve: Simplifying 1 + 6b2 = 0 Solving 1 + 6b2 = 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 + 6b2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6b2 = 0 + -1 6b2 = 0 + -1 Combine like terms: 0 + -1 = -1 6b2 = -1 Divide each side by '6'. b2 = -0.1666666667 Simplifying b2 = -0.1666666667 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-1 + 6b2)' equal to zero and attempt to solve: Simplifying -1 + 6b2 = 0 Solving -1 + 6b2 = 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 + 6b2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6b2 = 0 + 1 6b2 = 0 + 1 Combine like terms: 0 + 1 = 1 6b2 = 1 Divide each side by '6'. b2 = 0.1666666667 Simplifying b2 = 0.1666666667 Take the square root of each side: b = {-0.408248291, 0.408248291}Solution
b = {0, -0.408248291, 0.408248291}
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