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Simplifying 4b2 + 32b = -64 Reorder the terms: 32b + 4b2 = -64 Solving 32b + 4b2 = -64 Solving for variable 'b'. Reorder the terms: 64 + 32b + 4b2 = -64 + 64 Combine like terms: -64 + 64 = 0 64 + 32b + 4b2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(16 + 8b + b2) = 0 Factor a trinomial. 4((4 + b)(4 + b)) = 0 Ignore the factor 4.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 '(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 = -4Solution
b = {-4, -4}
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