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Simplifying 5b(b + -1) + -2b(b + -6) = 0 Reorder the terms: 5b(-1 + b) + -2b(b + -6) = 0 (-1 * 5b + b * 5b) + -2b(b + -6) = 0 (-5b + 5b2) + -2b(b + -6) = 0 Reorder the terms: -5b + 5b2 + -2b(-6 + b) = 0 -5b + 5b2 + (-6 * -2b + b * -2b) = 0 -5b + 5b2 + (12b + -2b2) = 0 Reorder the terms: -5b + 12b + 5b2 + -2b2 = 0 Combine like terms: -5b + 12b = 7b 7b + 5b2 + -2b2 = 0 Combine like terms: 5b2 + -2b2 = 3b2 7b + 3b2 = 0 Solving 7b + 3b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), 'b'. b(7 + 3b) = 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 '(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 = -2.333333333Solution
b = {0, -2.333333333}
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