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Simplifying 3b2 + -5b = 22 Reorder the terms: -5b + 3b2 = 22 Solving -5b + 3b2 = 22 Solving for variable 'b'. Reorder the terms: -22 + -5b + 3b2 = 22 + -22 Combine like terms: 22 + -22 = 0 -22 + -5b + 3b2 = 0 Factor a trinomial. (-2 + -1b)(11 + -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 '(11 + -3b)' equal to zero and attempt to solve: Simplifying 11 + -3b = 0 Solving 11 + -3b = 0 Move all terms containing b to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -3b = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3b = 0 + -11 -3b = 0 + -11 Combine like terms: 0 + -11 = -11 -3b = -11 Divide each side by '-3'. b = 3.666666667 Simplifying b = 3.666666667Solution
b = {-2, 3.666666667}
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