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Simplifying 7b[8 + 6(b + -1)] = 0 Reorder the terms: 7b[8 + 6(-1 + b)] = 0 7b[8 + (-1 * 6 + b * 6)] = 0 7b[8 + (-6 + 6b)] = 0 Combine like terms: 8 + -6 = 2 7b[2 + 6b] = 0 [2 * 7b + 6b * 7b] = 0 [14b + 42b2] = 0 Solving 14b + 42b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '14b'. 14b(1 + 3b) = 0 Ignore the factor 14.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 '(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 = {0, -0.3333333333}
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