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Simplifying 4c2 + -12ct + 9t2 = 0 Reorder the terms: -12ct + 4c2 + 9t2 = 0 Solving -12ct + 4c2 + 9t2 = 0 Solving for variable 'c'. Factor a trinomial. (2c + -3t)(2c + -3t) = 0Subproblem 1
Set the factor '(2c + -3t)' equal to zero and attempt to solve: Simplifying 2c + -3t = 0 Solving 2c + -3t = 0 Move all terms containing c to the left, all other terms to the right. Add '3t' to each side of the equation. 2c + -3t + 3t = 0 + 3t Combine like terms: -3t + 3t = 0 2c + 0 = 0 + 3t 2c = 0 + 3t Remove the zero: 2c = 3t Divide each side by '2'. c = 1.5t Simplifying c = 1.5tSubproblem 2
Set the factor '(2c + -3t)' equal to zero and attempt to solve: Simplifying 2c + -3t = 0 Solving 2c + -3t = 0 Move all terms containing c to the left, all other terms to the right. Add '3t' to each side of the equation. 2c + -3t + 3t = 0 + 3t Combine like terms: -3t + 3t = 0 2c + 0 = 0 + 3t 2c = 0 + 3t Remove the zero: 2c = 3t Divide each side by '2'. c = 1.5t Simplifying c = 1.5tSolution
c = {1.5t, 1.5t}
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