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Simplifying -27 + 39c + 10c2 = 0 Solving -27 + 39c + 10c2 = 0 Solving for variable 'c'. Factor a trinomial. (-9 + -2c)(3 + -5c) = 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 '(3 + -5c)' equal to zero and attempt to solve: Simplifying 3 + -5c = 0 Solving 3 + -5c = 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 + -5c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5c = 0 + -3 -5c = 0 + -3 Combine like terms: 0 + -3 = -3 -5c = -3 Divide each side by '-5'. c = 0.6 Simplifying c = 0.6Solution
c = {-4.5, 0.6}
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