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Simplifying 4v2 + 28vd + 49d2 = 0 Reorder the terms: 28dv + 49d2 + 4v2 = 0 Solving 28dv + 49d2 + 4v2 = 0 Solving for variable 'd'. Factor a trinomial. (7d + 2v)(7d + 2v) = 0Subproblem 1
Set the factor '(7d + 2v)' equal to zero and attempt to solve: Simplifying 7d + 2v = 0 Solving 7d + 2v = 0 Move all terms containing d to the left, all other terms to the right. Add '-2v' to each side of the equation. 7d + 2v + -2v = 0 + -2v Combine like terms: 2v + -2v = 0 7d + 0 = 0 + -2v 7d = 0 + -2v Remove the zero: 7d = -2v Divide each side by '7'. d = -0.2857142857v Simplifying d = -0.2857142857vSubproblem 2
Set the factor '(7d + 2v)' equal to zero and attempt to solve: Simplifying 7d + 2v = 0 Solving 7d + 2v = 0 Move all terms containing d to the left, all other terms to the right. Add '-2v' to each side of the equation. 7d + 2v + -2v = 0 + -2v Combine like terms: 2v + -2v = 0 7d + 0 = 0 + -2v 7d = 0 + -2v Remove the zero: 7d = -2v Divide each side by '7'. d = -0.2857142857v Simplifying d = -0.2857142857vSolution
d = {-0.2857142857v, -0.2857142857v}
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