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Simplifying -2b2 + -8b + -11 = -3 Reorder the terms: -11 + -8b + -2b2 = -3 Solving -11 + -8b + -2b2 = -3 Solving for variable 'b'. Reorder the terms: -11 + 3 + -8b + -2b2 = -3 + 3 Combine like terms: -11 + 3 = -8 -8 + -8b + -2b2 = -3 + 3 Combine like terms: -3 + 3 = 0 -8 + -8b + -2b2 = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(4 + 4b + b2) = 0 Factor a trinomial. -2((2 + b)(2 + b)) = 0 Ignore the factor -2.Subproblem 1
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 = -2Subproblem 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 = {-2, -2}
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