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Simplifying 4b2 + 28bd + 49d2 = 0 Reorder the terms: 28bd + 4b2 + 49d2 = 0 Solving 28bd + 4b2 + 49d2 = 0 Solving for variable 'b'. Factor a trinomial. (2b + 7d)(2b + 7d) = 0Subproblem 1
Set the factor '(2b + 7d)' equal to zero and attempt to solve: Simplifying 2b + 7d = 0 Solving 2b + 7d = 0 Move all terms containing b to the left, all other terms to the right. Add '-7d' to each side of the equation. 2b + 7d + -7d = 0 + -7d Combine like terms: 7d + -7d = 0 2b + 0 = 0 + -7d 2b = 0 + -7d Remove the zero: 2b = -7d Divide each side by '2'. b = -3.5d Simplifying b = -3.5dSubproblem 2
Set the factor '(2b + 7d)' equal to zero and attempt to solve: Simplifying 2b + 7d = 0 Solving 2b + 7d = 0 Move all terms containing b to the left, all other terms to the right. Add '-7d' to each side of the equation. 2b + 7d + -7d = 0 + -7d Combine like terms: 7d + -7d = 0 2b + 0 = 0 + -7d 2b = 0 + -7d Remove the zero: 2b = -7d Divide each side by '2'. b = -3.5d Simplifying b = -3.5dSolution
b = {-3.5d, -3.5d}
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