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Simplifying 42c2 + -17c = 15 Reorder the terms: -17c + 42c2 = 15 Solving -17c + 42c2 = 15 Solving for variable 'c'. Reorder the terms: -15 + -17c + 42c2 = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + -17c + 42c2 = 0 Factor a trinomial. (-3 + -7c)(5 + -6c) = 0Subproblem 1
Set the factor '(-3 + -7c)' equal to zero and attempt to solve: Simplifying -3 + -7c = 0 Solving -3 + -7c = 0 Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -7c = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7c = 0 + 3 -7c = 0 + 3 Combine like terms: 0 + 3 = 3 -7c = 3 Divide each side by '-7'. c = -0.4285714286 Simplifying c = -0.4285714286Subproblem 2
Set the factor '(5 + -6c)' equal to zero and attempt to solve: Simplifying 5 + -6c = 0 Solving 5 + -6c = 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 + -6c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6c = 0 + -5 -6c = 0 + -5 Combine like terms: 0 + -5 = -5 -6c = -5 Divide each side by '-6'. c = 0.8333333333 Simplifying c = 0.8333333333Solution
c = {-0.4285714286, 0.8333333333}
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