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Simplifying 484b + 32b2 + -250 = 0 Reorder the terms: -250 + 484b + 32b2 = 0 Solving -250 + 484b + 32b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2'. 2(-125 + 242b + 16b2) = 0 Factor a trinomial. 2((-125 + -8b)(1 + -2b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-125 + -8b)' equal to zero and attempt to solve: Simplifying -125 + -8b = 0 Solving -125 + -8b = 0 Move all terms containing b to the left, all other terms to the right. Add '125' to each side of the equation. -125 + 125 + -8b = 0 + 125 Combine like terms: -125 + 125 = 0 0 + -8b = 0 + 125 -8b = 0 + 125 Combine like terms: 0 + 125 = 125 -8b = 125 Divide each side by '-8'. b = -15.625 Simplifying b = -15.625Subproblem 2
Set the factor '(1 + -2b)' equal to zero and attempt to solve: Simplifying 1 + -2b = 0 Solving 1 + -2b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2b = 0 + -1 -2b = 0 + -1 Combine like terms: 0 + -1 = -1 -2b = -1 Divide each side by '-2'. b = 0.5 Simplifying b = 0.5Solution
b = {-15.625, 0.5}
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