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Simplifying (b + -17)(b + -21) = 0 Reorder the terms: (-17 + b)(b + -21) = 0 Reorder the terms: (-17 + b)(-21 + b) = 0 Multiply (-17 + b) * (-21 + b) (-17(-21 + b) + b(-21 + b)) = 0 ((-21 * -17 + b * -17) + b(-21 + b)) = 0 ((357 + -17b) + b(-21 + b)) = 0 (357 + -17b + (-21 * b + b * b)) = 0 (357 + -17b + (-21b + b2)) = 0 Combine like terms: -17b + -21b = -38b (357 + -38b + b2) = 0 Solving 357 + -38b + b2 = 0 Solving for variable 'b'. Factor a trinomial. (17 + -1b)(21 + -1b) = 0Subproblem 1
Set the factor '(17 + -1b)' equal to zero and attempt to solve: Simplifying 17 + -1b = 0 Solving 17 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1b = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1b = 0 + -17 -1b = 0 + -17 Combine like terms: 0 + -17 = -17 -1b = -17 Divide each side by '-1'. b = 17 Simplifying b = 17Subproblem 2
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 = 21Solution
b = {17, 21}
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