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Simplifying 48c2 + 72c + 27t2 = 0 Reorder the terms: 72c + 48c2 + 27t2 = 0 Solving 72c + 48c2 + 27t2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '3'. 3(24c + 16c2 + 9t2) = 0 Factor a trinomial. 3((4c + 3t)(4c + 3t)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(4c + 3t)' equal to zero and attempt to solve: Simplifying 4c + 3t = 0 Solving 4c + 3t = 0 Move all terms containing c to the left, all other terms to the right. Add '-3t' to each side of the equation. 4c + 3t + -3t = 0 + -3t Combine like terms: 3t + -3t = 0 4c + 0 = 0 + -3t 4c = 0 + -3t Remove the zero: 4c = -3t Divide each side by '4'. c = -0.75t Simplifying c = -0.75tSubproblem 2
Set the factor '(4c + 3t)' equal to zero and attempt to solve: Simplifying 4c + 3t = 0 Solving 4c + 3t = 0 Move all terms containing c to the left, all other terms to the right. Add '-3t' to each side of the equation. 4c + 3t + -3t = 0 + -3t Combine like terms: 3t + -3t = 0 4c + 0 = 0 + -3t 4c = 0 + -3t Remove the zero: 4c = -3t Divide each side by '4'. c = -0.75t Simplifying c = -0.75tSolution
c = {-0.75t, -0.75t}
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