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Simplifying 4b2 + b + -66 = -6 Reorder the terms: -66 + b + 4b2 = -6 Solving -66 + b + 4b2 = -6 Solving for variable 'b'. Reorder the terms: -66 + 6 + b + 4b2 = -6 + 6 Combine like terms: -66 + 6 = -60 -60 + b + 4b2 = -6 + 6 Combine like terms: -6 + 6 = 0 -60 + b + 4b2 = 0 Factor a trinomial. (-4 + -1b)(15 + -4b) = 0Subproblem 1
Set the factor '(-4 + -1b)' equal to zero and attempt to solve: Simplifying -4 + -1b = 0 Solving -4 + -1b = 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 + -1b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1b = 0 + 4 -1b = 0 + 4 Combine like terms: 0 + 4 = 4 -1b = 4 Divide each side by '-1'. b = -4 Simplifying b = -4Subproblem 2
Set the factor '(15 + -4b)' equal to zero and attempt to solve: Simplifying 15 + -4b = 0 Solving 15 + -4b = 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 + -4b = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4b = 0 + -15 -4b = 0 + -15 Combine like terms: 0 + -15 = -15 -4b = -15 Divide each side by '-4'. b = 3.75 Simplifying b = 3.75Solution
b = {-4, 3.75}
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