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Simplifying 18c2 + -3c + -10 = 0 Reorder the terms: -10 + -3c + 18c2 = 0 Solving -10 + -3c + 18c2 = 0 Solving for variable 'c'. Factor a trinomial. (-2 + -3c)(5 + -6c) = 0Subproblem 1
Set the factor '(-2 + -3c)' equal to zero and attempt to solve: Simplifying -2 + -3c = 0 Solving -2 + -3c = 0 Move all terms containing c to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3c = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3c = 0 + 2 -3c = 0 + 2 Combine like terms: 0 + 2 = 2 -3c = 2 Divide each side by '-3'. c = -0.6666666667 Simplifying c = -0.6666666667Subproblem 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 = {-0.6666666667, 0.8333333333}
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