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Simplifying 2b2 + 12b + 25 = 9 Reorder the terms: 25 + 12b + 2b2 = 9 Solving 25 + 12b + 2b2 = 9 Solving for variable 'b'. Reorder the terms: 25 + -9 + 12b + 2b2 = 9 + -9 Combine like terms: 25 + -9 = 16 16 + 12b + 2b2 = 9 + -9 Combine like terms: 9 + -9 = 0 16 + 12b + 2b2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(8 + 6b + b2) = 0 Factor a trinomial. 2((4 + b)(2 + b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + b)' equal to zero and attempt to solve: Simplifying 4 + b = 0 Solving 4 + b = 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 + b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + b = 0 + -4 b = 0 + -4 Combine like terms: 0 + -4 = -4 b = -4 Simplifying b = -4Subproblem 2
Set the factor '(2 + b)' equal to zero and attempt to solve: Simplifying 2 + b = 0 Solving 2 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + b = 0 + -2 b = 0 + -2 Combine like terms: 0 + -2 = -2 b = -2 Simplifying b = -2Solution
b = {-4, -2}
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