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Simplifying (13b + 7)(6b + -5) = 0 Reorder the terms: (7 + 13b)(6b + -5) = 0 Reorder the terms: (7 + 13b)(-5 + 6b) = 0 Multiply (7 + 13b) * (-5 + 6b) (7(-5 + 6b) + 13b * (-5 + 6b)) = 0 ((-5 * 7 + 6b * 7) + 13b * (-5 + 6b)) = 0 ((-35 + 42b) + 13b * (-5 + 6b)) = 0 (-35 + 42b + (-5 * 13b + 6b * 13b)) = 0 (-35 + 42b + (-65b + 78b2)) = 0 Combine like terms: 42b + -65b = -23b (-35 + -23b + 78b2) = 0 Solving -35 + -23b + 78b2 = 0 Solving for variable 'b'. Factor a trinomial. (-7 + -13b)(5 + -6b) = 0Subproblem 1
Set the factor '(-7 + -13b)' equal to zero and attempt to solve: Simplifying -7 + -13b = 0 Solving -7 + -13b = 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 + -13b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -13b = 0 + 7 -13b = 0 + 7 Combine like terms: 0 + 7 = 7 -13b = 7 Divide each side by '-13'. b = -0.5384615385 Simplifying b = -0.5384615385Subproblem 2
Set the factor '(5 + -6b)' equal to zero and attempt to solve: Simplifying 5 + -6b = 0 Solving 5 + -6b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6b = 0 + -5 -6b = 0 + -5 Combine like terms: 0 + -5 = -5 -6b = -5 Divide each side by '-6'. b = 0.8333333333 Simplifying b = 0.8333333333Solution
b = {-0.5384615385, 0.8333333333}
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