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Simplifying 16c2 + 72cd + 81d2 = 0 Reorder the terms: 72cd + 16c2 + 81d2 = 0 Solving 72cd + 16c2 + 81d2 = 0 Solving for variable 'c'. Factor a trinomial. (4c + 9d)(4c + 9d) = 0Subproblem 1
Set the factor '(4c + 9d)' equal to zero and attempt to solve: Simplifying 4c + 9d = 0 Solving 4c + 9d = 0 Move all terms containing c to the left, all other terms to the right. Add '-9d' to each side of the equation. 4c + 9d + -9d = 0 + -9d Combine like terms: 9d + -9d = 0 4c + 0 = 0 + -9d 4c = 0 + -9d Remove the zero: 4c = -9d Divide each side by '4'. c = -2.25d Simplifying c = -2.25dSubproblem 2
Set the factor '(4c + 9d)' equal to zero and attempt to solve: Simplifying 4c + 9d = 0 Solving 4c + 9d = 0 Move all terms containing c to the left, all other terms to the right. Add '-9d' to each side of the equation. 4c + 9d + -9d = 0 + -9d Combine like terms: 9d + -9d = 0 4c + 0 = 0 + -9d 4c = 0 + -9d Remove the zero: 4c = -9d Divide each side by '4'. c = -2.25d Simplifying c = -2.25dSolution
c = {-2.25d, -2.25d}
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