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Simplifying 49d2 + 9 = 42d Reorder the terms: 9 + 49d2 = 42d Solving 9 + 49d2 = 42d Solving for variable 'd'. Reorder the terms: 9 + -42d + 49d2 = 42d + -42d Combine like terms: 42d + -42d = 0 9 + -42d + 49d2 = 0 Factor a trinomial. (3 + -7d)(3 + -7d) = 0Subproblem 1
Set the factor '(3 + -7d)' equal to zero and attempt to solve: Simplifying 3 + -7d = 0 Solving 3 + -7d = 0 Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7d = 0 + -3 -7d = 0 + -3 Combine like terms: 0 + -3 = -3 -7d = -3 Divide each side by '-7'. d = 0.4285714286 Simplifying d = 0.4285714286Subproblem 2
Set the factor '(3 + -7d)' equal to zero and attempt to solve: Simplifying 3 + -7d = 0 Solving 3 + -7d = 0 Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7d = 0 + -3 -7d = 0 + -3 Combine like terms: 0 + -3 = -3 -7d = -3 Divide each side by '-7'. d = 0.4285714286 Simplifying d = 0.4285714286Solution
d = {0.4285714286, 0.4285714286}
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