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Simplifying 30 + -13c + -10c2 = 0 Solving 30 + -13c + -10c2 = 0 Solving for variable 'c'. Factor a trinomial. (6 + -5c)(5 + 2c) = 0Subproblem 1
Set the factor '(6 + -5c)' equal to zero and attempt to solve: Simplifying 6 + -5c = 0 Solving 6 + -5c = 0 Move all terms containing c to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5c = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5c = 0 + -6 -5c = 0 + -6 Combine like terms: 0 + -6 = -6 -5c = -6 Divide each side by '-5'. c = 1.2 Simplifying c = 1.2Subproblem 2
Set the factor '(5 + 2c)' equal to zero and attempt to solve: Simplifying 5 + 2c = 0 Solving 5 + 2c = 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 + 2c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2c = 0 + -5 2c = 0 + -5 Combine like terms: 0 + -5 = -5 2c = -5 Divide each side by '2'. c = -2.5 Simplifying c = -2.5Solution
c = {1.2, -2.5}
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