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Simplifying 9b3 + -27b + -4536b = 0 Reorder the terms: -27b + -4536b + 9b3 = 0 Combine like terms: -27b + -4536b = -4563b -4563b + 9b3 = 0 Solving -4563b + 9b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '9b'. 9b(-507 + b2) = 0 Ignore the factor 9.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 '(-507 + b2)' equal to zero and attempt to solve: Simplifying -507 + b2 = 0 Solving -507 + b2 = 0 Move all terms containing b to the left, all other terms to the right. Add '507' to each side of the equation. -507 + 507 + b2 = 0 + 507 Combine like terms: -507 + 507 = 0 0 + b2 = 0 + 507 b2 = 0 + 507 Combine like terms: 0 + 507 = 507 b2 = 507 Simplifying b2 = 507 Take the square root of each side: b = {-22.516660498, 22.516660498}Solution
b = {0, -22.516660498, 22.516660498}
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