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Simplifying 64c2(d2) + 48c(d) + 9 = 0 Multiply c2 * d2 64c2d2 + 48c(d) + 9 = 0 Multiply c * d 64c2d2 + 48cd + 9 = 0 Reorder the terms: 9 + 48cd + 64c2d2 = 0 Solving 9 + 48cd + 64c2d2 = 0 Solving for variable 'c'. Factor a trinomial. (3 + 8cd)(3 + 8cd) = 0Subproblem 1
Set the factor '(3 + 8cd)' equal to zero and attempt to solve: Simplifying 3 + 8cd = 0 Solving 3 + 8cd = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8cd = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8cd = 0 + -3 8cd = 0 + -3 Combine like terms: 0 + -3 = -3 8cd = -3 Divide each side by '8d'. c = -0.375d-1 Simplifying c = -0.375d-1Subproblem 2
Set the factor '(3 + 8cd)' equal to zero and attempt to solve: Simplifying 3 + 8cd = 0 Solving 3 + 8cd = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8cd = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8cd = 0 + -3 8cd = 0 + -3 Combine like terms: 0 + -3 = -3 8cd = -3 Divide each side by '8d'. c = -0.375d-1 Simplifying c = -0.375d-1Solution
c = {-0.375d-1, -0.375d-1}
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