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Simplifying 16c2 + 56cd + 49d2 = 0 Reorder the terms: 56cd + 16c2 + 49d2 = 0 Solving 56cd + 16c2 + 49d2 = 0 Solving for variable 'c'. Factor a trinomial. (4c + 7d)(4c + 7d) = 0Subproblem 1
Set the factor '(4c + 7d)' equal to zero and attempt to solve: Simplifying 4c + 7d = 0 Solving 4c + 7d = 0 Move all terms containing c to the left, all other terms to the right. Add '-7d' to each side of the equation. 4c + 7d + -7d = 0 + -7d Combine like terms: 7d + -7d = 0 4c + 0 = 0 + -7d 4c = 0 + -7d Remove the zero: 4c = -7d Divide each side by '4'. c = -1.75d Simplifying c = -1.75dSubproblem 2
Set the factor '(4c + 7d)' equal to zero and attempt to solve: Simplifying 4c + 7d = 0 Solving 4c + 7d = 0 Move all terms containing c to the left, all other terms to the right. Add '-7d' to each side of the equation. 4c + 7d + -7d = 0 + -7d Combine like terms: 7d + -7d = 0 4c + 0 = 0 + -7d 4c = 0 + -7d Remove the zero: 4c = -7d Divide each side by '4'. c = -1.75d Simplifying c = -1.75dSolution
c = {-1.75d, -1.75d}
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