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Simplifying 2c2 + -5cd + -7d2 = 0 Reorder the terms: -5cd + 2c2 + -7d2 = 0 Solving -5cd + 2c2 + -7d2 = 0 Solving for variable 'c'. Factor a trinomial. (2c + -7d)(c + d) = 0Subproblem 1
Set the factor '(2c + -7d)' equal to zero and attempt to solve: Simplifying 2c + -7d = 0 Solving 2c + -7d = 0 Move all terms containing c to the left, all other terms to the right. Add '7d' to each side of the equation. 2c + -7d + 7d = 0 + 7d Combine like terms: -7d + 7d = 0 2c + 0 = 0 + 7d 2c = 0 + 7d Remove the zero: 2c = 7d Divide each side by '2'. c = 3.5d Simplifying c = 3.5dSubproblem 2
Set the factor '(c + d)' equal to zero and attempt to solve: Simplifying c + d = 0 Solving c + d = 0 Move all terms containing c to the left, all other terms to the right. Add '-1d' to each side of the equation. c + d + -1d = 0 + -1d Combine like terms: d + -1d = 0 c + 0 = 0 + -1d c = 0 + -1d Remove the zero: c = -1d Simplifying c = -1dSolution
c = {3.5d, -1d}
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