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Simplifying 3b2 = 13b + 10 Reorder the terms: 3b2 = 10 + 13b Solving 3b2 = 10 + 13b Solving for variable 'b'. Reorder the terms: -10 + -13b + 3b2 = 10 + 13b + -10 + -13b Reorder the terms: -10 + -13b + 3b2 = 10 + -10 + 13b + -13b Combine like terms: 10 + -10 = 0 -10 + -13b + 3b2 = 0 + 13b + -13b -10 + -13b + 3b2 = 13b + -13b Combine like terms: 13b + -13b = 0 -10 + -13b + 3b2 = 0 Factor a trinomial. (-2 + -3b)(5 + -1b) = 0Subproblem 1
Set the factor '(-2 + -3b)' equal to zero and attempt to solve: Simplifying -2 + -3b = 0 Solving -2 + -3b = 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 + -3b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3b = 0 + 2 -3b = 0 + 2 Combine like terms: 0 + 2 = 2 -3b = 2 Divide each side by '-3'. b = -0.6666666667 Simplifying b = -0.6666666667Subproblem 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 = {-0.6666666667, 5}
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