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Simplifying 35c2 + -32c + 5 = 0 Reorder the terms: 5 + -32c + 35c2 = 0 Solving 5 + -32c + 35c2 = 0 Solving for variable 'c'. Factor a trinomial. (1 + -5c)(5 + -7c) = 0Subproblem 1
Set the factor '(1 + -5c)' equal to zero and attempt to solve: Simplifying 1 + -5c = 0 Solving 1 + -5c = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5c = 0 + -1 -5c = 0 + -1 Combine like terms: 0 + -1 = -1 -5c = -1 Divide each side by '-5'. c = 0.2 Simplifying c = 0.2Subproblem 2
Set the factor '(5 + -7c)' equal to zero and attempt to solve: Simplifying 5 + -7c = 0 Solving 5 + -7c = 0 Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7c = 0 + -5 -7c = 0 + -5 Combine like terms: 0 + -5 = -5 -7c = -5 Divide each side by '-7'. c = 0.7142857143 Simplifying c = 0.7142857143Solution
c = {0.2, 0.7142857143}
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