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Simplifying 9(b2 + -2b) = 8b2 + -81 Reorder the terms: 9(-2b + b2) = 8b2 + -81 (-2b * 9 + b2 * 9) = 8b2 + -81 (-18b + 9b2) = 8b2 + -81 Reorder the terms: -18b + 9b2 = -81 + 8b2 Solving -18b + 9b2 = -81 + 8b2 Solving for variable 'b'. Reorder the terms: 81 + -18b + 9b2 + -8b2 = -81 + 8b2 + 81 + -8b2 Combine like terms: 9b2 + -8b2 = 1b2 81 + -18b + 1b2 = -81 + 8b2 + 81 + -8b2 Reorder the terms: 81 + -18b + 1b2 = -81 + 81 + 8b2 + -8b2 Combine like terms: -81 + 81 = 0 81 + -18b + 1b2 = 0 + 8b2 + -8b2 81 + -18b + 1b2 = 8b2 + -8b2 Combine like terms: 8b2 + -8b2 = 0 81 + -18b + 1b2 = 0 Factor a trinomial. (9 + -1b)(9 + -1b) = 0Subproblem 1
Set the factor '(9 + -1b)' equal to zero and attempt to solve: Simplifying 9 + -1b = 0 Solving 9 + -1b = 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 + -1b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1b = 0 + -9 -1b = 0 + -9 Combine like terms: 0 + -9 = -9 -1b = -9 Divide each side by '-1'. b = 9 Simplifying b = 9Subproblem 2
Set the factor '(9 + -1b)' equal to zero and attempt to solve: Simplifying 9 + -1b = 0 Solving 9 + -1b = 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 + -1b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1b = 0 + -9 -1b = 0 + -9 Combine like terms: 0 + -9 = -9 -1b = -9 Divide each side by '-1'. b = 9 Simplifying b = 9Solution
b = {9, 9}
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