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Simplifying 3b3 + -13b2 + 10b = 0 Reorder the terms: 10b + -13b2 + 3b3 = 0 Solving 10b + -13b2 + 3b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(10 + -13b + 3b2) = 0 Factor a trinomial. b((1 + -1b)(10 + -3b)) = 0Subproblem 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 '(1 + -1b)' equal to zero and attempt to solve: Simplifying 1 + -1b = 0 Solving 1 + -1b = 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 + -1b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1b = 0 + -1 -1b = 0 + -1 Combine like terms: 0 + -1 = -1 -1b = -1 Divide each side by '-1'. b = 1 Simplifying b = 1Subproblem 3
Set the factor '(10 + -3b)' equal to zero and attempt to solve: Simplifying 10 + -3b = 0 Solving 10 + -3b = 0 Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3b = 0 + -10 -3b = 0 + -10 Combine like terms: 0 + -10 = -10 -3b = -10 Divide each side by '-3'. b = 3.333333333 Simplifying b = 3.333333333Solution
b = {0, 1, 3.333333333}
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