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Simplifying 15b + -6b3 = 0 Solving 15b + -6b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '3b'. 3b(5 + -2b2) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0Subproblem 2
Set the factor '(5 + -2b2)' equal to zero and attempt to solve: Simplifying 5 + -2b2 = 0 Solving 5 + -2b2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2b2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2b2 = 0 + -5 -2b2 = 0 + -5 Combine like terms: 0 + -5 = -5 -2b2 = -5 Divide each side by '-2'. b2 = 2.5 Simplifying b2 = 2.5 Take the square root of each side: b = {-1.58113883, 1.58113883}Solution
b = {0, -1.58113883, 1.58113883}
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