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Simplifying 25b2 + -90b + 81 = 0 Reorder the terms: 81 + -90b + 25b2 = 0 Solving 81 + -90b + 25b2 = 0 Solving for variable 'b'. Factor a trinomial. (9 + -5b)(9 + -5b) = 0Subproblem 1
Set the factor '(9 + -5b)' equal to zero and attempt to solve: Simplifying 9 + -5b = 0 Solving 9 + -5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5b = 0 + -9 -5b = 0 + -9 Combine like terms: 0 + -9 = -9 -5b = -9 Divide each side by '-5'. b = 1.8 Simplifying b = 1.8Subproblem 2
Set the factor '(9 + -5b)' equal to zero and attempt to solve: Simplifying 9 + -5b = 0 Solving 9 + -5b = 0 Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5b = 0 + -9 -5b = 0 + -9 Combine like terms: 0 + -9 = -9 -5b = -9 Divide each side by '-5'. b = 1.8 Simplifying b = 1.8Solution
b = {1.8, 1.8}
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