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Simplifying 9c2 + 25c + -6 = 0 Reorder the terms: -6 + 25c + 9c2 = 0 Solving -6 + 25c + 9c2 = 0 Solving for variable 'c'. Factor a trinomial. (-3 + -1c)(2 + -9c) = 0Subproblem 1
Set the factor '(-3 + -1c)' equal to zero and attempt to solve: Simplifying -3 + -1c = 0 Solving -3 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1c = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1c = 0 + 3 -1c = 0 + 3 Combine like terms: 0 + 3 = 3 -1c = 3 Divide each side by '-1'. c = -3 Simplifying c = -3Subproblem 2
Set the factor '(2 + -9c)' equal to zero and attempt to solve: Simplifying 2 + -9c = 0 Solving 2 + -9c = 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 + -9c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9c = 0 + -2 -9c = 0 + -2 Combine like terms: 0 + -2 = -2 -9c = -2 Divide each side by '-9'. c = 0.2222222222 Simplifying c = 0.2222222222Solution
c = {-3, 0.2222222222}
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