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Simplifying (b + 21)(b + -24) = 0 Reorder the terms: (21 + b)(b + -24) = 0 Reorder the terms: (21 + b)(-24 + b) = 0 Multiply (21 + b) * (-24 + b) (21(-24 + b) + b(-24 + b)) = 0 ((-24 * 21 + b * 21) + b(-24 + b)) = 0 ((-504 + 21b) + b(-24 + b)) = 0 (-504 + 21b + (-24 * b + b * b)) = 0 (-504 + 21b + (-24b + b2)) = 0 Combine like terms: 21b + -24b = -3b (-504 + -3b + b2) = 0 Solving -504 + -3b + b2 = 0 Solving for variable 'b'. Factor a trinomial. (-21 + -1b)(24 + -1b) = 0Subproblem 1
Set the factor '(-21 + -1b)' equal to zero and attempt to solve: Simplifying -21 + -1b = 0 Solving -21 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -1b = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -1b = 0 + 21 -1b = 0 + 21 Combine like terms: 0 + 21 = 21 -1b = 21 Divide each side by '-1'. b = -21 Simplifying b = -21Subproblem 2
Set the factor '(24 + -1b)' equal to zero and attempt to solve: Simplifying 24 + -1b = 0 Solving 24 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1b = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1b = 0 + -24 -1b = 0 + -24 Combine like terms: 0 + -24 = -24 -1b = -24 Divide each side by '-1'. b = 24 Simplifying b = 24Solution
b = {-21, 24}
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