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Simplifying b2 + 18bh + 72h2 = 0 Reorder the terms: 18bh + b2 + 72h2 = 0 Solving 18bh + b2 + 72h2 = 0 Solving for variable 'b'. Factor a trinomial. (b + 6h)(b + 12h) = 0Subproblem 1
Set the factor '(b + 6h)' equal to zero and attempt to solve: Simplifying b + 6h = 0 Solving b + 6h = 0 Move all terms containing b to the left, all other terms to the right. Add '-6h' to each side of the equation. b + 6h + -6h = 0 + -6h Combine like terms: 6h + -6h = 0 b + 0 = 0 + -6h b = 0 + -6h Remove the zero: b = -6h Simplifying b = -6hSubproblem 2
Set the factor '(b + 12h)' equal to zero and attempt to solve: Simplifying b + 12h = 0 Solving b + 12h = 0 Move all terms containing b to the left, all other terms to the right. Add '-12h' to each side of the equation. b + 12h + -12h = 0 + -12h Combine like terms: 12h + -12h = 0 b + 0 = 0 + -12h b = 0 + -12h Remove the zero: b = -12h Simplifying b = -12hSolution
b = {-6h, -12h}
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