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Simplifying b2 + 5bd + -14d2 = 0 Reorder the terms: 5bd + b2 + -14d2 = 0 Solving 5bd + b2 + -14d2 = 0 Solving for variable 'b'. Factor a trinomial. (b + -2d)(b + 7d) = 0Subproblem 1
Set the factor '(b + -2d)' equal to zero and attempt to solve: Simplifying b + -2d = 0 Solving b + -2d = 0 Move all terms containing b to the left, all other terms to the right. Add '2d' to each side of the equation. b + -2d + 2d = 0 + 2d Combine like terms: -2d + 2d = 0 b + 0 = 0 + 2d b = 0 + 2d Remove the zero: b = 2d Simplifying b = 2dSubproblem 2
Set the factor '(b + 7d)' equal to zero and attempt to solve: Simplifying b + 7d = 0 Solving b + 7d = 0 Move all terms containing b to the left, all other terms to the right. Add '-7d' to each side of the equation. b + 7d + -7d = 0 + -7d Combine like terms: 7d + -7d = 0 b + 0 = 0 + -7d b = 0 + -7d Remove the zero: b = -7d Simplifying b = -7dSolution
b = {2d, -7d}
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