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Simplifying (9b + -2)(7b + 6) = 0 Reorder the terms: (-2 + 9b)(7b + 6) = 0 Reorder the terms: (-2 + 9b)(6 + 7b) = 0 Multiply (-2 + 9b) * (6 + 7b) (-2(6 + 7b) + 9b * (6 + 7b)) = 0 ((6 * -2 + 7b * -2) + 9b * (6 + 7b)) = 0 ((-12 + -14b) + 9b * (6 + 7b)) = 0 (-12 + -14b + (6 * 9b + 7b * 9b)) = 0 (-12 + -14b + (54b + 63b2)) = 0 Combine like terms: -14b + 54b = 40b (-12 + 40b + 63b2) = 0 Solving -12 + 40b + 63b2 = 0 Solving for variable 'b'. Factor a trinomial. (-6 + -7b)(2 + -9b) = 0Subproblem 1
Set the factor '(-6 + -7b)' equal to zero and attempt to solve: Simplifying -6 + -7b = 0 Solving -6 + -7b = 0 Move all terms containing b to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -7b = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -7b = 0 + 6 -7b = 0 + 6 Combine like terms: 0 + 6 = 6 -7b = 6 Divide each side by '-7'. b = -0.8571428571 Simplifying b = -0.8571428571Subproblem 2
Set the factor '(2 + -9b)' equal to zero and attempt to solve: Simplifying 2 + -9b = 0 Solving 2 + -9b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -9b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9b = 0 + -2 -9b = 0 + -2 Combine like terms: 0 + -2 = -2 -9b = -2 Divide each side by '-9'. b = 0.2222222222 Simplifying b = 0.2222222222Solution
b = {-0.8571428571, 0.2222222222}
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