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Simplifying 5c2 + 19c + -30 = 0 Reorder the terms: -30 + 19c + 5c2 = 0 Solving -30 + 19c + 5c2 = 0 Solving for variable 'c'. Factor a trinomial. (-5 + -1c)(6 + -5c) = 0Subproblem 1
Set the factor '(-5 + -1c)' equal to zero and attempt to solve: Simplifying -5 + -1c = 0 Solving -5 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1c = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1c = 0 + 5 -1c = 0 + 5 Combine like terms: 0 + 5 = 5 -1c = 5 Divide each side by '-1'. c = -5 Simplifying c = -5Subproblem 2
Set the factor '(6 + -5c)' equal to zero and attempt to solve: Simplifying 6 + -5c = 0 Solving 6 + -5c = 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 + -5c = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5c = 0 + -6 -5c = 0 + -6 Combine like terms: 0 + -6 = -6 -5c = -6 Divide each side by '-5'. c = 1.2 Simplifying c = 1.2Solution
c = {-5, 1.2}
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