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Simplifying -11b + -4 + -7b2 = 0 Reorder the terms: -4 + -11b + -7b2 = 0 Solving -4 + -11b + -7b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '-1'. -1(4 + 11b + 7b2) = 0 Factor a trinomial. -1((1 + b)(4 + 7b)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1 + b)' equal to zero and attempt to solve: Simplifying 1 + b = 0 Solving 1 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + b = 0 + -1 b = 0 + -1 Combine like terms: 0 + -1 = -1 b = -1 Simplifying b = -1Subproblem 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 = {-1, -0.5714285714}
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