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Simplifying (7b + 2)(9b + -8) = 0 Reorder the terms: (2 + 7b)(9b + -8) = 0 Reorder the terms: (2 + 7b)(-8 + 9b) = 0 Multiply (2 + 7b) * (-8 + 9b) (2(-8 + 9b) + 7b * (-8 + 9b)) = 0 ((-8 * 2 + 9b * 2) + 7b * (-8 + 9b)) = 0 ((-16 + 18b) + 7b * (-8 + 9b)) = 0 (-16 + 18b + (-8 * 7b + 9b * 7b)) = 0 (-16 + 18b + (-56b + 63b2)) = 0 Combine like terms: 18b + -56b = -38b (-16 + -38b + 63b2) = 0 Solving -16 + -38b + 63b2 = 0 Solving for variable 'b'. Factor a trinomial. (-2 + -7b)(8 + -9b) = 0Subproblem 1
Set the factor '(-2 + -7b)' equal to zero and attempt to solve: Simplifying -2 + -7b = 0 Solving -2 + -7b = 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 + -7b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7b = 0 + 2 -7b = 0 + 2 Combine like terms: 0 + 2 = 2 -7b = 2 Divide each side by '-7'. b = -0.2857142857 Simplifying b = -0.2857142857Subproblem 2
Set the factor '(8 + -9b)' equal to zero and attempt to solve: Simplifying 8 + -9b = 0 Solving 8 + -9b = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -9b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9b = 0 + -8 -9b = 0 + -8 Combine like terms: 0 + -8 = -8 -9b = -8 Divide each side by '-9'. b = 0.8888888889 Simplifying b = 0.8888888889Solution
b = {-0.2857142857, 0.8888888889}
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