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Simplifying 81b2 + -72b + 16 = 0 Reorder the terms: 16 + -72b + 81b2 = 0 Solving 16 + -72b + 81b2 = 0 Solving for variable 'b'. Factor a trinomial. (4 + -9b)(4 + -9b) = 0Subproblem 1
Set the factor '(4 + -9b)' equal to zero and attempt to solve: Simplifying 4 + -9b = 0 Solving 4 + -9b = 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 + -9b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9b = 0 + -4 -9b = 0 + -4 Combine like terms: 0 + -4 = -4 -9b = -4 Divide each side by '-9'. b = 0.4444444444 Simplifying b = 0.4444444444Subproblem 2
Set the factor '(4 + -9b)' equal to zero and attempt to solve: Simplifying 4 + -9b = 0 Solving 4 + -9b = 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 + -9b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9b = 0 + -4 -9b = 0 + -4 Combine like terms: 0 + -4 = -4 -9b = -4 Divide each side by '-9'. b = 0.4444444444 Simplifying b = 0.4444444444Solution
b = {0.4444444444, 0.4444444444}
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