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Simplifying 6c2 + 25c + -9 = 0 Reorder the terms: -9 + 25c + 6c2 = 0 Solving -9 + 25c + 6c2 = 0 Solving for variable 'c'. Factor a trinomial. (-9 + -2c)(1 + -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 '(1 + -3c)' equal to zero and attempt to solve: Simplifying 1 + -3c = 0 Solving 1 + -3c = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3c = 0 + -1 -3c = 0 + -1 Combine like terms: 0 + -1 = -1 -3c = -1 Divide each side by '-3'. c = 0.3333333333 Simplifying c = 0.3333333333Solution
c = {-4.5, 0.3333333333}
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