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Simplifying 11c + 72 = 6c2 Reorder the terms: 72 + 11c = 6c2 Solving 72 + 11c = 6c2 Solving for variable 'c'. Combine like terms: 6c2 + -6c2 = 0 72 + 11c + -6c2 = 0 Factor a trinomial. (9 + -2c)(8 + 3c) = 0Subproblem 1
Set the factor '(9 + -2c)' equal to zero and attempt to solve: Simplifying 9 + -2c = 0 Solving 9 + -2c = 0 Move all terms containing c to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2c = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2c = 0 + -9 -2c = 0 + -9 Combine like terms: 0 + -9 = -9 -2c = -9 Divide each side by '-2'. c = 4.5 Simplifying c = 4.5Subproblem 2
Set the factor '(8 + 3c)' equal to zero and attempt to solve: Simplifying 8 + 3c = 0 Solving 8 + 3c = 0 Move all terms containing c to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3c = 0 + -8 3c = 0 + -8 Combine like terms: 0 + -8 = -8 3c = -8 Divide each side by '3'. c = -2.666666667 Simplifying c = -2.666666667Solution
c = {4.5, -2.666666667}
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