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Simplifying 2b2 + 7b + -22 = 0 Reorder the terms: -22 + 7b + 2b2 = 0 Solving -22 + 7b + 2b2 = 0 Solving for variable 'b'. Factor a trinomial. (-11 + -2b)(2 + -1b) = 0Subproblem 1
Set the factor '(-11 + -2b)' equal to zero and attempt to solve: Simplifying -11 + -2b = 0 Solving -11 + -2b = 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 + -2b = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2b = 0 + 11 -2b = 0 + 11 Combine like terms: 0 + 11 = 11 -2b = 11 Divide each side by '-2'. b = -5.5 Simplifying b = -5.5Subproblem 2
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 = 2Solution
b = {-5.5, 2}
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