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Simplifying 45b2 + 150b + 125 = 0 Reorder the terms: 125 + 150b + 45b2 = 0 Solving 125 + 150b + 45b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '5'. 5(25 + 30b + 9b2) = 0 Factor a trinomial. 5((5 + 3b)(5 + 3b)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(5 + 3b)' equal to zero and attempt to solve: Simplifying 5 + 3b = 0 Solving 5 + 3b = 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 + 3b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3b = 0 + -5 3b = 0 + -5 Combine like terms: 0 + -5 = -5 3b = -5 Divide each side by '3'. b = -1.666666667 Simplifying b = -1.666666667Subproblem 2
Set the factor '(5 + 3b)' equal to zero and attempt to solve: Simplifying 5 + 3b = 0 Solving 5 + 3b = 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 + 3b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3b = 0 + -5 3b = 0 + -5 Combine like terms: 0 + -5 = -5 3b = -5 Divide each side by '3'. b = -1.666666667 Simplifying b = -1.666666667Solution
b = {-1.666666667, -1.666666667}
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