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Simplifying 5b(12b + 7) = 0 Reorder the terms: 5b(7 + 12b) = 0 (7 * 5b + 12b * 5b) = 0 (35b + 60b2) = 0 Solving 35b + 60b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '5b'. 5b(7 + 12b) = 0 Ignore the factor 5.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 '(7 + 12b)' equal to zero and attempt to solve: Simplifying 7 + 12b = 0 Solving 7 + 12b = 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 + 12b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 12b = 0 + -7 12b = 0 + -7 Combine like terms: 0 + -7 = -7 12b = -7 Divide each side by '12'. b = -0.5833333333 Simplifying b = -0.5833333333Solution
b = {0, -0.5833333333}
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