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Simplifying -6b2 + -9b + 9 = 9 Reorder the terms: 9 + -9b + -6b2 = 9 Add '-9' to each side of the equation. 9 + -9b + -9 + -6b2 = 9 + -9 Reorder the terms: 9 + -9 + -9b + -6b2 = 9 + -9 Combine like terms: 9 + -9 = 0 0 + -9b + -6b2 = 9 + -9 -9b + -6b2 = 9 + -9 Combine like terms: 9 + -9 = 0 -9b + -6b2 = 0 Solving -9b + -6b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '-3b'. -3b(3 + 2b) = 0 Ignore the factor -3.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 '(3 + 2b)' equal to zero and attempt to solve: Simplifying 3 + 2b = 0 Solving 3 + 2b = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2b = 0 + -3 2b = 0 + -3 Combine like terms: 0 + -3 = -3 2b = -3 Divide each side by '2'. b = -1.5 Simplifying b = -1.5Solution
b = {0, -1.5}
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