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Simplifying 16b2 + 8b + -35 = 0 Reorder the terms: -35 + 8b + 16b2 = 0 Solving -35 + 8b + 16b2 = 0 Solving for variable 'b'. Factor a trinomial. (-7 + -4b)(5 + -4b) = 0Subproblem 1
Set the factor '(-7 + -4b)' equal to zero and attempt to solve: Simplifying -7 + -4b = 0 Solving -7 + -4b = 0 Move all terms containing b to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -4b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4b = 0 + 7 -4b = 0 + 7 Combine like terms: 0 + 7 = 7 -4b = 7 Divide each side by '-4'. b = -1.75 Simplifying b = -1.75Subproblem 2
Set the factor '(5 + -4b)' equal to zero and attempt to solve: Simplifying 5 + -4b = 0 Solving 5 + -4b = 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 + -4b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4b = 0 + -5 -4b = 0 + -5 Combine like terms: 0 + -5 = -5 -4b = -5 Divide each side by '-4'. b = 1.25 Simplifying b = 1.25Solution
b = {-1.75, 1.25}
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