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Simplifying 3c2 + -1c + -10 = 0 Reorder the terms: -10 + -1c + 3c2 = 0 Solving -10 + -1c + 3c2 = 0 Solving for variable 'c'. Factor a trinomial. (-5 + -3c)(2 + -1c) = 0Subproblem 1
Set the factor '(-5 + -3c)' equal to zero and attempt to solve: Simplifying -5 + -3c = 0 Solving -5 + -3c = 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 + -3c = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3c = 0 + 5 -3c = 0 + 5 Combine like terms: 0 + 5 = 5 -3c = 5 Divide each side by '-3'. c = -1.666666667 Simplifying c = -1.666666667Subproblem 2
Set the factor '(2 + -1c)' equal to zero and attempt to solve: Simplifying 2 + -1c = 0 Solving 2 + -1c = 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 + -1c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1c = 0 + -2 -1c = 0 + -2 Combine like terms: 0 + -2 = -2 -1c = -2 Divide each side by '-1'. c = 2 Simplifying c = 2Solution
c = {-1.666666667, 2}
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