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Simplifying 18c2 + -21c + 24c + -28 = 0 Reorder the terms: -28 + -21c + 24c + 18c2 = 0 Combine like terms: -21c + 24c = 3c -28 + 3c + 18c2 = 0 Solving -28 + 3c + 18c2 = 0 Solving for variable 'c'. Factor a trinomial. (-4 + -3c)(7 + -6c) = 0Subproblem 1
Set the factor '(-4 + -3c)' equal to zero and attempt to solve: Simplifying -4 + -3c = 0 Solving -4 + -3c = 0 Move all terms containing c to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3c = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3c = 0 + 4 -3c = 0 + 4 Combine like terms: 0 + 4 = 4 -3c = 4 Divide each side by '-3'. c = -1.333333333 Simplifying c = -1.333333333Subproblem 2
Set the factor '(7 + -6c)' equal to zero and attempt to solve: Simplifying 7 + -6c = 0 Solving 7 + -6c = 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 + -6c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6c = 0 + -7 -6c = 0 + -7 Combine like terms: 0 + -7 = -7 -6c = -7 Divide each side by '-6'. c = 1.166666667 Simplifying c = 1.166666667Solution
c = {-1.333333333, 1.166666667}
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