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Simplifying 8c2 + 46cd + 45d2 = 0 Reorder the terms: 46cd + 8c2 + 45d2 = 0 Solving 46cd + 8c2 + 45d2 = 0 Solving for variable 'c'. Factor a trinomial. (4c + 5d)(2c + 9d) = 0Subproblem 1
Set the factor '(4c + 5d)' equal to zero and attempt to solve: Simplifying 4c + 5d = 0 Solving 4c + 5d = 0 Move all terms containing c to the left, all other terms to the right. Add '-5d' to each side of the equation. 4c + 5d + -5d = 0 + -5d Combine like terms: 5d + -5d = 0 4c + 0 = 0 + -5d 4c = 0 + -5d Remove the zero: 4c = -5d Divide each side by '4'. c = -1.25d Simplifying c = -1.25dSubproblem 2
Set the factor '(2c + 9d)' equal to zero and attempt to solve: Simplifying 2c + 9d = 0 Solving 2c + 9d = 0 Move all terms containing c to the left, all other terms to the right. Add '-9d' to each side of the equation. 2c + 9d + -9d = 0 + -9d Combine like terms: 9d + -9d = 0 2c + 0 = 0 + -9d 2c = 0 + -9d Remove the zero: 2c = -9d Divide each side by '2'. c = -4.5d Simplifying c = -4.5dSolution
c = {-1.25d, -4.5d}
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