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Simplifying (5b + 11)(b + 10) = 0 Reorder the terms: (11 + 5b)(b + 10) = 0 Reorder the terms: (11 + 5b)(10 + b) = 0 Multiply (11 + 5b) * (10 + b) (11(10 + b) + 5b * (10 + b)) = 0 ((10 * 11 + b * 11) + 5b * (10 + b)) = 0 ((110 + 11b) + 5b * (10 + b)) = 0 (110 + 11b + (10 * 5b + b * 5b)) = 0 (110 + 11b + (50b + 5b2)) = 0 Combine like terms: 11b + 50b = 61b (110 + 61b + 5b2) = 0 Solving 110 + 61b + 5b2 = 0 Solving for variable 'b'. Factor a trinomial. (10 + b)(11 + 5b) = 0Subproblem 1
Set the factor '(10 + b)' equal to zero and attempt to solve: Simplifying 10 + b = 0 Solving 10 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + b = 0 + -10 b = 0 + -10 Combine like terms: 0 + -10 = -10 b = -10 Simplifying b = -10Subproblem 2
Set the factor '(11 + 5b)' equal to zero and attempt to solve: Simplifying 11 + 5b = 0 Solving 11 + 5b = 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 + 5b = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 5b = 0 + -11 5b = 0 + -11 Combine like terms: 0 + -11 = -11 5b = -11 Divide each side by '5'. b = -2.2 Simplifying b = -2.2Solution
b = {-10, -2.2}
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