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Simplifying 2b(b + 4) + 3b(b + -8) = 0 Reorder the terms: 2b(4 + b) + 3b(b + -8) = 0 (4 * 2b + b * 2b) + 3b(b + -8) = 0 (8b + 2b2) + 3b(b + -8) = 0 Reorder the terms: 8b + 2b2 + 3b(-8 + b) = 0 8b + 2b2 + (-8 * 3b + b * 3b) = 0 8b + 2b2 + (-24b + 3b2) = 0 Reorder the terms: 8b + -24b + 2b2 + 3b2 = 0 Combine like terms: 8b + -24b = -16b -16b + 2b2 + 3b2 = 0 Combine like terms: 2b2 + 3b2 = 5b2 -16b + 5b2 = 0 Solving -16b + 5b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(-16 + 5b) = 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 '(-16 + 5b)' equal to zero and attempt to solve: Simplifying -16 + 5b = 0 Solving -16 + 5b = 0 Move all terms containing b to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 5b = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 5b = 0 + 16 5b = 0 + 16 Combine like terms: 0 + 16 = 16 5b = 16 Divide each side by '5'. b = 3.2 Simplifying b = 3.2Solution
b = {0, 3.2}
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