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Simplifying 10c2 + 31c = 14 Reorder the terms: 31c + 10c2 = 14 Solving 31c + 10c2 = 14 Solving for variable 'c'. Reorder the terms: -14 + 31c + 10c2 = 14 + -14 Combine like terms: 14 + -14 = 0 -14 + 31c + 10c2 = 0 Factor a trinomial. (-7 + -2c)(2 + -5c) = 0Subproblem 1
Set the factor '(-7 + -2c)' equal to zero and attempt to solve: Simplifying -7 + -2c = 0 Solving -7 + -2c = 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 + -2c = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2c = 0 + 7 -2c = 0 + 7 Combine like terms: 0 + 7 = 7 -2c = 7 Divide each side by '-2'. c = -3.5 Simplifying c = -3.5Subproblem 2
Set the factor '(2 + -5c)' equal to zero and attempt to solve: Simplifying 2 + -5c = 0 Solving 2 + -5c = 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 + -5c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5c = 0 + -2 -5c = 0 + -2 Combine like terms: 0 + -2 = -2 -5c = -2 Divide each side by '-5'. c = 0.4 Simplifying c = 0.4Solution
c = {-3.5, 0.4}
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