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Simplifying 40b5 + -5b3 = 0 Reorder the terms: -5b3 + 40b5 = 0 Solving -5b3 + 40b5 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '5b3'. 5b3(-1 + 8b2) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'b3' equal to zero and attempt to solve: Simplifying b3 = 0 Solving b3 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b3 = 0 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 + 8b2)' equal to zero and attempt to solve: Simplifying -1 + 8b2 = 0 Solving -1 + 8b2 = 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 + 8b2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8b2 = 0 + 1 8b2 = 0 + 1 Combine like terms: 0 + 1 = 1 8b2 = 1 Divide each side by '8'. b2 = 0.125 Simplifying b2 = 0.125 Take the square root of each side: b = {-0.353553391, 0.353553391}Solution
b = {-0.353553391, 0.353553391}
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