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Simplifying (9b + 7)(2b + -6) = 0 Reorder the terms: (7 + 9b)(2b + -6) = 0 Reorder the terms: (7 + 9b)(-6 + 2b) = 0 Multiply (7 + 9b) * (-6 + 2b) (7(-6 + 2b) + 9b * (-6 + 2b)) = 0 ((-6 * 7 + 2b * 7) + 9b * (-6 + 2b)) = 0 ((-42 + 14b) + 9b * (-6 + 2b)) = 0 (-42 + 14b + (-6 * 9b + 2b * 9b)) = 0 (-42 + 14b + (-54b + 18b2)) = 0 Combine like terms: 14b + -54b = -40b (-42 + -40b + 18b2) = 0 Solving -42 + -40b + 18b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2'. 2(-21 + -20b + 9b2) = 0 Factor a trinomial. 2((-7 + -9b)(3 + -1b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + -9b)' equal to zero and attempt to solve: Simplifying -7 + -9b = 0 Solving -7 + -9b = 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 + -9b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -9b = 0 + 7 -9b = 0 + 7 Combine like terms: 0 + 7 = 7 -9b = 7 Divide each side by '-9'. b = -0.7777777778 Simplifying b = -0.7777777778Subproblem 2
Set the factor '(3 + -1b)' equal to zero and attempt to solve: Simplifying 3 + -1b = 0 Solving 3 + -1b = 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 + -1b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1b = 0 + -3 -1b = 0 + -3 Combine like terms: 0 + -3 = -3 -1b = -3 Divide each side by '-1'. b = 3 Simplifying b = 3Solution
b = {-0.7777777778, 3}
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