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Simplifying 10c2 + -19c + -15 = 0 Reorder the terms: -15 + -19c + 10c2 = 0 Solving -15 + -19c + 10c2 = 0 Solving for variable 'c'. Factor a trinomial. (-3 + -5c)(5 + -2c) = 0Subproblem 1
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 = -0.6Subproblem 2
Set the factor '(5 + -2c)' equal to zero and attempt to solve: Simplifying 5 + -2c = 0 Solving 5 + -2c = 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 + -2c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2c = 0 + -5 -2c = 0 + -5 Combine like terms: 0 + -5 = -5 -2c = -5 Divide each side by '-2'. c = 2.5 Simplifying c = 2.5Solution
c = {-0.6, 2.5}
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