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Simplifying (b + 4) * 2b2 + 8b + 0 = 0 Reorder the terms: (4 + b) * 2b2 + 8b + 0 = 0 Reorder the terms for easier multiplication: 2b2(4 + b) + 8b + 0 = 0 (4 * 2b2 + b * 2b2) + 8b + 0 = 0 (8b2 + 2b3) + 8b + 0 = 0 Reorder the terms: 0 + 8b + 8b2 + 2b3 = 0 Remove the zero: 8b + 8b2 + 2b3 = 0 Solving 8b + 8b2 + 2b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2b'. 2b(4 + 4b + b2) = 0 Factor a trinomial. 2b((2 + b)(2 + b)) = 0 Ignore the factor 2.Subproblem 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 '(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 3
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 = {0, -2, -2}
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