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Simplifying (5 + -1b)(12 + -5b) = 0 Multiply (5 + -1b) * (12 + -5b) (5(12 + -5b) + -1b * (12 + -5b)) = 0 ((12 * 5 + -5b * 5) + -1b * (12 + -5b)) = 0 ((60 + -25b) + -1b * (12 + -5b)) = 0 (60 + -25b + (12 * -1b + -5b * -1b)) = 0 (60 + -25b + (-12b + 5b2)) = 0 Combine like terms: -25b + -12b = -37b (60 + -37b + 5b2) = 0 Solving 60 + -37b + 5b2 = 0 Solving for variable 'b'. Factor a trinomial. (12 + -5b)(5 + -1b) = 0Subproblem 1
Set the factor '(12 + -5b)' equal to zero and attempt to solve: Simplifying 12 + -5b = 0 Solving 12 + -5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5b = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5b = 0 + -12 -5b = 0 + -12 Combine like terms: 0 + -12 = -12 -5b = -12 Divide each side by '-5'. b = 2.4 Simplifying b = 2.4Subproblem 2
Set the factor '(5 + -1b)' equal to zero and attempt to solve: Simplifying 5 + -1b = 0 Solving 5 + -1b = 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 + -1b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1b = 0 + -5 -1b = 0 + -5 Combine like terms: 0 + -5 = -5 -1b = -5 Divide each side by '-1'. b = 5 Simplifying b = 5Solution
b = {2.4, 5}
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