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Simplifying (3b + -7)(b + -2) = 0 Reorder the terms: (-7 + 3b)(b + -2) = 0 Reorder the terms: (-7 + 3b)(-2 + b) = 0 Multiply (-7 + 3b) * (-2 + b) (-7(-2 + b) + 3b * (-2 + b)) = 0 ((-2 * -7 + b * -7) + 3b * (-2 + b)) = 0 ((14 + -7b) + 3b * (-2 + b)) = 0 (14 + -7b + (-2 * 3b + b * 3b)) = 0 (14 + -7b + (-6b + 3b2)) = 0 Combine like terms: -7b + -6b = -13b (14 + -13b + 3b2) = 0 Solving 14 + -13b + 3b2 = 0 Solving for variable 'b'. Factor a trinomial. (2 + -1b)(7 + -3b) = 0Subproblem 1
Set the factor '(2 + -1b)' equal to zero and attempt to solve: Simplifying 2 + -1b = 0 Solving 2 + -1b = 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 + -1b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1b = 0 + -2 -1b = 0 + -2 Combine like terms: 0 + -2 = -2 -1b = -2 Divide each side by '-1'. b = 2 Simplifying b = 2Subproblem 2
Set the factor '(7 + -3b)' equal to zero and attempt to solve: Simplifying 7 + -3b = 0 Solving 7 + -3b = 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 + -3b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3b = 0 + -7 -3b = 0 + -7 Combine like terms: 0 + -7 = -7 -3b = -7 Divide each side by '-3'. b = 2.333333333 Simplifying b = 2.333333333Solution
b = {2, 2.333333333}
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