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Simplifying -3b2 + -10b + -7 = 0 Reorder the terms: -7 + -10b + -3b2 = 0 Solving -7 + -10b + -3b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '-1'. -1(7 + 10b + 3b2) = 0 Factor a trinomial. -1((7 + 3b)(1 + b)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(7 + 3b)' equal to zero and attempt to solve: Simplifying 7 + 3b = 0 Solving 7 + 3b = 0 Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3b = 0 + -7 3b = 0 + -7 Combine like terms: 0 + -7 = -7 3b = -7 Divide each side by '3'. b = -2.333333333 Simplifying b = -2.333333333Subproblem 2
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 = -1Solution
b = {-2.333333333, -1}
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