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Simplifying 8b2 + -34b + -9 = 0 Reorder the terms: -9 + -34b + 8b2 = 0 Solving -9 + -34b + 8b2 = 0 Solving for variable 'b'. Factor a trinomial. (-1 + -4b)(9 + -2b) = 0Subproblem 1
Set the factor '(-1 + -4b)' equal to zero and attempt to solve: Simplifying -1 + -4b = 0 Solving -1 + -4b = 0 Move all terms containing b to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -4b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4b = 0 + 1 -4b = 0 + 1 Combine like terms: 0 + 1 = 1 -4b = 1 Divide each side by '-4'. b = -0.25 Simplifying b = -0.25Subproblem 2
Set the factor '(9 + -2b)' equal to zero and attempt to solve: Simplifying 9 + -2b = 0 Solving 9 + -2b = 0 Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2b = 0 + -9 -2b = 0 + -9 Combine like terms: 0 + -9 = -9 -2b = -9 Divide each side by '-2'. b = 4.5 Simplifying b = 4.5Solution
b = {-0.25, 4.5}
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