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Simplifying 11b2 + -47b + -40 = 0 Reorder the terms: -40 + -47b + 11b2 = 0 Solving -40 + -47b + 11b2 = 0 Solving for variable 'b'. Factor a trinomial. (-8 + -11b)(5 + -1b) = 0Subproblem 1
Set the factor '(-8 + -11b)' equal to zero and attempt to solve: Simplifying -8 + -11b = 0 Solving -8 + -11b = 0 Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -11b = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -11b = 0 + 8 -11b = 0 + 8 Combine like terms: 0 + 8 = 8 -11b = 8 Divide each side by '-11'. b = -0.7272727273 Simplifying b = -0.7272727273Subproblem 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 = {-0.7272727273, 5}
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