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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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