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Simplifying -3b(-1 + 2b) + -7b(2 + 3b) = 0 (-1 * -3b + 2b * -3b) + -7b(2 + 3b) = 0 (3b + -6b2) + -7b(2 + 3b) = 0 3b + -6b2 + (2 * -7b + 3b * -7b) = 0 3b + -6b2 + (-14b + -21b2) = 0 Reorder the terms: 3b + -14b + -6b2 + -21b2 = 0 Combine like terms: 3b + -14b = -11b -11b + -6b2 + -21b2 = 0 Combine like terms: -6b2 + -21b2 = -27b2 -11b + -27b2 = 0 Solving -11b + -27b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '-1b'. -1b(11 + 27b) = 0 Ignore the factor -1.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 '(11 + 27b)' equal to zero and attempt to solve: Simplifying 11 + 27b = 0 Solving 11 + 27b = 0 Move all terms containing b to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 27b = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 27b = 0 + -11 27b = 0 + -11 Combine like terms: 0 + -11 = -11 27b = -11 Divide each side by '27'. b = -0.4074074074 Simplifying b = -0.4074074074Solution
b = {0, -0.4074074074}
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