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Simplifying 36b3 + 84b2 = 0 Reorder the terms: 84b2 + 36b3 = 0 Solving 84b2 + 36b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '12b2'. 12b2(7 + 3b) = 0 Ignore the factor 12.Subproblem 1
Set the factor 'b2' equal to zero and attempt to solve: Simplifying b2 = 0 Solving b2 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b2 = 0 Take the square root of each side: b = {0}Subproblem 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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