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Simplifying 36b2 + -84bd + 49d2 = 0 Reorder the terms: -84bd + 36b2 + 49d2 = 0 Solving -84bd + 36b2 + 49d2 = 0 Solving for variable 'b'. Factor a trinomial. (6b + -7d)(6b + -7d) = 0Subproblem 1
Set the factor '(6b + -7d)' equal to zero and attempt to solve: Simplifying 6b + -7d = 0 Solving 6b + -7d = 0 Move all terms containing b to the left, all other terms to the right. Add '7d' to each side of the equation. 6b + -7d + 7d = 0 + 7d Combine like terms: -7d + 7d = 0 6b + 0 = 0 + 7d 6b = 0 + 7d Remove the zero: 6b = 7d Divide each side by '6'. b = 1.166666667d Simplifying b = 1.166666667dSubproblem 2
Set the factor '(6b + -7d)' equal to zero and attempt to solve: Simplifying 6b + -7d = 0 Solving 6b + -7d = 0 Move all terms containing b to the left, all other terms to the right. Add '7d' to each side of the equation. 6b + -7d + 7d = 0 + 7d Combine like terms: -7d + 7d = 0 6b + 0 = 0 + 7d 6b = 0 + 7d Remove the zero: 6b = 7d Divide each side by '6'. b = 1.166666667d Simplifying b = 1.166666667dSolution
b = {1.166666667d, 1.166666667d}
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