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Simplifying 10c2 + 99cd + -10d2 = 0 Reorder the terms: 99cd + 10c2 + -10d2 = 0 Solving 99cd + 10c2 + -10d2 = 0 Solving for variable 'c'. Factor a trinomial. (10c + -1d)(c + 10d) = 0Subproblem 1
Set the factor '(10c + -1d)' equal to zero and attempt to solve: Simplifying 10c + -1d = 0 Solving 10c + -1d = 0 Move all terms containing c to the left, all other terms to the right. Add 'd' to each side of the equation. 10c + -1d + d = 0 + d Combine like terms: -1d + d = 0 10c + 0 = 0 + d 10c = 0 + d Remove the zero: 10c = d Divide each side by '10'. c = 0.1d Simplifying c = 0.1dSubproblem 2
Set the factor '(c + 10d)' equal to zero and attempt to solve: Simplifying c + 10d = 0 Solving c + 10d = 0 Move all terms containing c to the left, all other terms to the right. Add '-10d' to each side of the equation. c + 10d + -10d = 0 + -10d Combine like terms: 10d + -10d = 0 c + 0 = 0 + -10d c = 0 + -10d Remove the zero: c = -10d Simplifying c = -10dSolution
c = {0.1d, -10d}
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