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Simplifying 25c2 + 70ct + 49t2 = 0 Reorder the terms: 70ct + 25c2 + 49t2 = 0 Solving 70ct + 25c2 + 49t2 = 0 Solving for variable 'c'. Factor a trinomial. (5c + 7t)(5c + 7t) = 0Subproblem 1
Set the factor '(5c + 7t)' equal to zero and attempt to solve: Simplifying 5c + 7t = 0 Solving 5c + 7t = 0 Move all terms containing c to the left, all other terms to the right. Add '-7t' to each side of the equation. 5c + 7t + -7t = 0 + -7t Combine like terms: 7t + -7t = 0 5c + 0 = 0 + -7t 5c = 0 + -7t Remove the zero: 5c = -7t Divide each side by '5'. c = -1.4t Simplifying c = -1.4tSubproblem 2
Set the factor '(5c + 7t)' equal to zero and attempt to solve: Simplifying 5c + 7t = 0 Solving 5c + 7t = 0 Move all terms containing c to the left, all other terms to the right. Add '-7t' to each side of the equation. 5c + 7t + -7t = 0 + -7t Combine like terms: 7t + -7t = 0 5c + 0 = 0 + -7t 5c = 0 + -7t Remove the zero: 5c = -7t Divide each side by '5'. c = -1.4t Simplifying c = -1.4tSolution
c = {-1.4t, -1.4t}
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