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Simplifying -4b3 + 14b2 + -10b = 0 Reorder the terms: -10b + 14b2 + -4b3 = 0 Solving -10b + 14b2 + -4b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2b'. 2b(-5 + 7b + -2b2) = 0 Factor a trinomial. 2b((-5 + 2b)(1 + -1b)) = 0 Ignore the factor 2.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 + 2b)' equal to zero and attempt to solve: Simplifying -5 + 2b = 0 Solving -5 + 2b = 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 + 2b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2b = 0 + 5 2b = 0 + 5 Combine like terms: 0 + 5 = 5 2b = 5 Divide each side by '2'. b = 2.5 Simplifying b = 2.5Subproblem 3
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 = 1Solution
b = {0, 2.5, 1}
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