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Simplifying 2b2 + 2b = 364 Reorder the terms: 2b + 2b2 = 364 Solving 2b + 2b2 = 364 Solving for variable 'b'. Reorder the terms: -364 + 2b + 2b2 = 364 + -364 Combine like terms: 364 + -364 = 0 -364 + 2b + 2b2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-182 + b + b2) = 0 Factor a trinomial. 2((-14 + -1b)(13 + -1b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-14 + -1b)' equal to zero and attempt to solve: Simplifying -14 + -1b = 0 Solving -14 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1b = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1b = 0 + 14 -1b = 0 + 14 Combine like terms: 0 + 14 = 14 -1b = 14 Divide each side by '-1'. b = -14 Simplifying b = -14Subproblem 2
Set the factor '(13 + -1b)' equal to zero and attempt to solve: Simplifying 13 + -1b = 0 Solving 13 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1b = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1b = 0 + -13 -1b = 0 + -13 Combine like terms: 0 + -13 = -13 -1b = -13 Divide each side by '-1'. b = 13 Simplifying b = 13Solution
b = {-14, 13}
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