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Simplifying 24cd + -12c2 + -12d2 = 0 Solving 24cd + -12c2 + -12d2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '12'. 12(2cd + -1c2 + -1d2) = 0 Factor a trinomial. 12((-1c + d)(c + -1d)) = 0 Ignore the factor 12.Subproblem 1
Set the factor '(-1c + d)' equal to zero and attempt to solve: Simplifying -1c + d = 0 Solving -1c + d = 0 Move all terms containing c to the left, all other terms to the right. Add '-1d' to each side of the equation. -1c + d + -1d = 0 + -1d Combine like terms: d + -1d = 0 -1c + 0 = 0 + -1d -1c = 0 + -1d Remove the zero: -1c = -1d Divide each side by '-1'. c = d Simplifying c = dSubproblem 2
Set the factor '(c + -1d)' equal to zero and attempt to solve: Simplifying c + -1d = 0 Solving c + -1d = 0 Move all terms containing c to the left, all other terms to the right. Add 'd' to each side of the equation. c + -1d + d = 0 + d Combine like terms: -1d + d = 0 c + 0 = 0 + d c = 0 + d Remove the zero: c = d Simplifying c = dSolution
c = {d, d}
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