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Simplifying 2b2 = -20 + 14b Solving 2b2 = -20 + 14b Solving for variable 'b'. Reorder the terms: 20 + -14b + 2b2 = -20 + 14b + 20 + -14b Reorder the terms: 20 + -14b + 2b2 = -20 + 20 + 14b + -14b Combine like terms: -20 + 20 = 0 20 + -14b + 2b2 = 0 + 14b + -14b 20 + -14b + 2b2 = 14b + -14b Combine like terms: 14b + -14b = 0 20 + -14b + 2b2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(10 + -7b + b2) = 0 Factor a trinomial. 2((2 + -1b)(5 + -1b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -1b)' equal to zero and attempt to solve: Simplifying 2 + -1b = 0 Solving 2 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1b = 0 + -2 -1b = 0 + -2 Combine like terms: 0 + -2 = -2 -1b = -2 Divide each side by '-1'. b = 2 Simplifying b = 2Subproblem 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 = {2, 5}
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