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Simplifying 10c2 + -17c = 6 Reorder the terms: -17c + 10c2 = 6 Solving -17c + 10c2 = 6 Solving for variable 'c'. Reorder the terms: -6 + -17c + 10c2 = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + -17c + 10c2 = 0 Factor a trinomial. (-3 + -10c)(2 + -1c) = 0Subproblem 1
Set the factor '(-3 + -10c)' equal to zero and attempt to solve: Simplifying -3 + -10c = 0 Solving -3 + -10c = 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 + -10c = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -10c = 0 + 3 -10c = 0 + 3 Combine like terms: 0 + 3 = 3 -10c = 3 Divide each side by '-10'. c = -0.3 Simplifying c = -0.3Subproblem 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 = {-0.3, 2}
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