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Simplifying 5b2 = -8 + -22b Solving 5b2 = -8 + -22b Solving for variable 'b'. Reorder the terms: 8 + 22b + 5b2 = -8 + -22b + 8 + 22b Reorder the terms: 8 + 22b + 5b2 = -8 + 8 + -22b + 22b Combine like terms: -8 + 8 = 0 8 + 22b + 5b2 = 0 + -22b + 22b 8 + 22b + 5b2 = -22b + 22b Combine like terms: -22b + 22b = 0 8 + 22b + 5b2 = 0 Factor a trinomial. (4 + b)(2 + 5b) = 0Subproblem 1
Set the factor '(4 + b)' equal to zero and attempt to solve: Simplifying 4 + b = 0 Solving 4 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + b = 0 + -4 b = 0 + -4 Combine like terms: 0 + -4 = -4 b = -4 Simplifying b = -4Subproblem 2
Set the factor '(2 + 5b)' equal to zero and attempt to solve: Simplifying 2 + 5b = 0 Solving 2 + 5b = 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 + 5b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5b = 0 + -2 5b = 0 + -2 Combine like terms: 0 + -2 = -2 5b = -2 Divide each side by '5'. b = -0.4 Simplifying b = -0.4Solution
b = {-4, -0.4}
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