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Simplifying 35c2 + -19c + -42 = 0 Reorder the terms: -42 + -19c + 35c2 = 0 Solving -42 + -19c + 35c2 = 0 Solving for variable 'c'. Factor a trinomial. (-6 + -7c)(7 + -5c) = 0Subproblem 1
Set the factor '(-6 + -7c)' equal to zero and attempt to solve: Simplifying -6 + -7c = 0 Solving -6 + -7c = 0 Move all terms containing c to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -7c = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -7c = 0 + 6 -7c = 0 + 6 Combine like terms: 0 + 6 = 6 -7c = 6 Divide each side by '-7'. c = -0.8571428571 Simplifying c = -0.8571428571Subproblem 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 = {-0.8571428571, 1.4}
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