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Simplifying b2 + 6bh + -27h2 = 0 Reorder the terms: 6bh + b2 + -27h2 = 0 Solving 6bh + b2 + -27h2 = 0 Solving for variable 'b'. Factor a trinomial. (b + -3h)(b + 9h) = 0Subproblem 1
Set the factor '(b + -3h)' equal to zero and attempt to solve: Simplifying b + -3h = 0 Solving b + -3h = 0 Move all terms containing b to the left, all other terms to the right. Add '3h' to each side of the equation. b + -3h + 3h = 0 + 3h Combine like terms: -3h + 3h = 0 b + 0 = 0 + 3h b = 0 + 3h Remove the zero: b = 3h Simplifying b = 3hSubproblem 2
Set the factor '(b + 9h)' equal to zero and attempt to solve: Simplifying b + 9h = 0 Solving b + 9h = 0 Move all terms containing b to the left, all other terms to the right. Add '-9h' to each side of the equation. b + 9h + -9h = 0 + -9h Combine like terms: 9h + -9h = 0 b + 0 = 0 + -9h b = 0 + -9h Remove the zero: b = -9h Simplifying b = -9hSolution
b = {3h, -9h}
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