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Simplifying -6b + -9b(5 + 6b) = 0 -6b + (5 * -9b + 6b * -9b) = 0 -6b + (-45b + -54b2) = 0 Combine like terms: -6b + -45b = -51b -51b + -54b2 = 0 Solving -51b + -54b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '-3b'. -3b(17 + 18b) = 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 '(17 + 18b)' equal to zero and attempt to solve: Simplifying 17 + 18b = 0 Solving 17 + 18b = 0 Move all terms containing b to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 18b = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 18b = 0 + -17 18b = 0 + -17 Combine like terms: 0 + -17 = -17 18b = -17 Divide each side by '18'. b = -0.9444444444 Simplifying b = -0.9444444444Solution
b = {0, -0.9444444444}
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