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Simplifying (-1b + -8)(-6b + -2) = 0 Reorder the terms: (-8 + -1b)(-6b + -2) = 0 Reorder the terms: (-8 + -1b)(-2 + -6b) = 0 Multiply (-8 + -1b) * (-2 + -6b) (-8(-2 + -6b) + -1b * (-2 + -6b)) = 0 ((-2 * -8 + -6b * -8) + -1b * (-2 + -6b)) = 0 ((16 + 48b) + -1b * (-2 + -6b)) = 0 (16 + 48b + (-2 * -1b + -6b * -1b)) = 0 (16 + 48b + (2b + 6b2)) = 0 Combine like terms: 48b + 2b = 50b (16 + 50b + 6b2) = 0 Solving 16 + 50b + 6b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2'. 2(8 + 25b + 3b2) = 0 Factor a trinomial. 2((8 + b)(1 + 3b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + b)' equal to zero and attempt to solve: Simplifying 8 + b = 0 Solving 8 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + b = 0 + -8 b = 0 + -8 Combine like terms: 0 + -8 = -8 b = -8 Simplifying b = -8Subproblem 2
Set the factor '(1 + 3b)' equal to zero and attempt to solve: Simplifying 1 + 3b = 0 Solving 1 + 3b = 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 + 3b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3b = 0 + -1 3b = 0 + -1 Combine like terms: 0 + -1 = -1 3b = -1 Divide each side by '3'. b = -0.3333333333 Simplifying b = -0.3333333333Solution
b = {-8, -0.3333333333}
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