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Simplifying 2c2 = 19c + -30 Reorder the terms: 2c2 = -30 + 19c Solving 2c2 = -30 + 19c Solving for variable 'c'. Reorder the terms: 30 + -19c + 2c2 = -30 + 19c + 30 + -19c Reorder the terms: 30 + -19c + 2c2 = -30 + 30 + 19c + -19c Combine like terms: -30 + 30 = 0 30 + -19c + 2c2 = 0 + 19c + -19c 30 + -19c + 2c2 = 19c + -19c Combine like terms: 19c + -19c = 0 30 + -19c + 2c2 = 0 Factor a trinomial. (2 + -1c)(15 + -2c) = 0Subproblem 1
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 = 2Subproblem 2
Set the factor '(15 + -2c)' equal to zero and attempt to solve: Simplifying 15 + -2c = 0 Solving 15 + -2c = 0 Move all terms containing c to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -2c = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2c = 0 + -15 -2c = 0 + -15 Combine like terms: 0 + -15 = -15 -2c = -15 Divide each side by '-2'. c = 7.5 Simplifying c = 7.5Solution
c = {2, 7.5}
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