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Simplifying 4b2 + 8b + -165 = 0 Reorder the terms: -165 + 8b + 4b2 = 0 Solving -165 + 8b + 4b2 = 0 Solving for variable 'b'. Factor a trinomial. (-15 + -2b)(11 + -2b) = 0Subproblem 1
Set the factor '(-15 + -2b)' equal to zero and attempt to solve: Simplifying -15 + -2b = 0 Solving -15 + -2b = 0 Move all terms containing b to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -2b = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -2b = 0 + 15 -2b = 0 + 15 Combine like terms: 0 + 15 = 15 -2b = 15 Divide each side by '-2'. b = -7.5 Simplifying b = -7.5Subproblem 2
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 = 5.5Solution
b = {-7.5, 5.5}
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