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Simplifying 6b(8b + 8) + b(2b + 3) = 0 Reorder the terms: 6b(8 + 8b) + b(2b + 3) = 0 (8 * 6b + 8b * 6b) + b(2b + 3) = 0 (48b + 48b2) + b(2b + 3) = 0 Reorder the terms: 48b + 48b2 + b(3 + 2b) = 0 48b + 48b2 + (3 * b + 2b * b) = 0 48b + 48b2 + (3b + 2b2) = 0 Reorder the terms: 48b + 3b + 48b2 + 2b2 = 0 Combine like terms: 48b + 3b = 51b 51b + 48b2 + 2b2 = 0 Combine like terms: 48b2 + 2b2 = 50b2 51b + 50b2 = 0 Solving 51b + 50b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(51 + 50b) = 0Subproblem 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 '(51 + 50b)' equal to zero and attempt to solve: Simplifying 51 + 50b = 0 Solving 51 + 50b = 0 Move all terms containing b to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 50b = 0 + -51 Combine like terms: 51 + -51 = 0 0 + 50b = 0 + -51 50b = 0 + -51 Combine like terms: 0 + -51 = -51 50b = -51 Divide each side by '50'. b = -1.02 Simplifying b = -1.02Solution
b = {0, -1.02}
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