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Simplifying -30b3 + 19b2 + 63b = 0 Reorder the terms: 63b + 19b2 + -30b3 = 0 Solving 63b + 19b2 + -30b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(63 + 19b + -30b2) = 0 Factor a trinomial. b((9 + -5b)(7 + 6b)) = 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 '(9 + -5b)' equal to zero and attempt to solve: Simplifying 9 + -5b = 0 Solving 9 + -5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5b = 0 + -9 -5b = 0 + -9 Combine like terms: 0 + -9 = -9 -5b = -9 Divide each side by '-5'. b = 1.8 Simplifying b = 1.8Subproblem 3
Set the factor '(7 + 6b)' equal to zero and attempt to solve: Simplifying 7 + 6b = 0 Solving 7 + 6b = 0 Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6b = 0 + -7 6b = 0 + -7 Combine like terms: 0 + -7 = -7 6b = -7 Divide each side by '6'. b = -1.166666667 Simplifying b = -1.166666667Solution
b = {0, 1.8, -1.166666667}
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