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Simplifying 9c2 + -6c + -143 = 0 Reorder the terms: -143 + -6c + 9c2 = 0 Solving -143 + -6c + 9c2 = 0 Solving for variable 'c'. Factor a trinomial. (-11 + -3c)(13 + -3c) = 0Subproblem 1
Set the factor '(-11 + -3c)' equal to zero and attempt to solve: Simplifying -11 + -3c = 0 Solving -11 + -3c = 0 Move all terms containing c to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -3c = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -3c = 0 + 11 -3c = 0 + 11 Combine like terms: 0 + 11 = 11 -3c = 11 Divide each side by '-3'. c = -3.666666667 Simplifying c = -3.666666667Subproblem 2
Set the factor '(13 + -3c)' equal to zero and attempt to solve: Simplifying 13 + -3c = 0 Solving 13 + -3c = 0 Move all terms containing c to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -3c = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -3c = 0 + -13 -3c = 0 + -13 Combine like terms: 0 + -13 = -13 -3c = -13 Divide each side by '-3'. c = 4.333333333 Simplifying c = 4.333333333Solution
c = {-3.666666667, 4.333333333}
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