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Simplifying 21c2 + 10c + -24 = 0 Reorder the terms: -24 + 10c + 21c2 = 0 Solving -24 + 10c + 21c2 = 0 Solving for variable 'c'. Factor a trinomial. (-4 + -3c)(6 + -7c) = 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 '(6 + -7c)' equal to zero and attempt to solve: Simplifying 6 + -7c = 0 Solving 6 + -7c = 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 + -7c = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7c = 0 + -6 -7c = 0 + -6 Combine like terms: 0 + -6 = -6 -7c = -6 Divide each side by '-7'. c = 0.8571428571 Simplifying c = 0.8571428571Solution
c = {-1.333333333, 0.8571428571}
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