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Simplifying 3b3 + -135b2 + -588b = 0 Reorder the terms: -588b + -135b2 + 3b3 = 0 Solving -588b + -135b2 + 3b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '3b'. 3b(-196 + -45b + b2) = 0 Factor a trinomial. 3b((-4 + -1b)(49 + -1b)) = 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 '(-4 + -1b)' equal to zero and attempt to solve: Simplifying -4 + -1b = 0 Solving -4 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1b = 0 + 4 -1b = 0 + 4 Combine like terms: 0 + 4 = 4 -1b = 4 Divide each side by '-1'. b = -4 Simplifying b = -4Subproblem 3
Set the factor '(49 + -1b)' equal to zero and attempt to solve: Simplifying 49 + -1b = 0 Solving 49 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -1b = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -1b = 0 + -49 -1b = 0 + -49 Combine like terms: 0 + -49 = -49 -1b = -49 Divide each side by '-1'. b = 49 Simplifying b = 49Solution
b = {0, -4, 49}
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