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Simplifying 25c2 + 70c + 49 = 0 Reorder the terms: 49 + 70c + 25c2 = 0 Solving 49 + 70c + 25c2 = 0 Solving for variable 'c'. Factor a trinomial. (7 + 5c)(7 + 5c) = 0Subproblem 1
Set the factor '(7 + 5c)' equal to zero and attempt to solve: Simplifying 7 + 5c = 0 Solving 7 + 5c = 0 Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5c = 0 + -7 5c = 0 + -7 Combine like terms: 0 + -7 = -7 5c = -7 Divide each side by '5'. c = -1.4 Simplifying c = -1.4Subproblem 2
Set the factor '(7 + 5c)' equal to zero and attempt to solve: Simplifying 7 + 5c = 0 Solving 7 + 5c = 0 Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5c = 0 + -7 5c = 0 + -7 Combine like terms: 0 + -7 = -7 5c = -7 Divide each side by '5'. c = -1.4 Simplifying c = -1.4Solution
c = {-1.4, -1.4}
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