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Simplifying 7b2 + 32b = -16 Reorder the terms: 32b + 7b2 = -16 Solving 32b + 7b2 = -16 Solving for variable 'b'. Reorder the terms: 16 + 32b + 7b2 = -16 + 16 Combine like terms: -16 + 16 = 0 16 + 32b + 7b2 = 0 Factor a trinomial. (4 + b)(4 + 7b) = 0Subproblem 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 + 7b)' equal to zero and attempt to solve: Simplifying 4 + 7b = 0 Solving 4 + 7b = 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 + 7b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7b = 0 + -4 7b = 0 + -4 Combine like terms: 0 + -4 = -4 7b = -4 Divide each side by '7'. b = -0.5714285714 Simplifying b = -0.5714285714Solution
b = {-4, -0.5714285714}
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