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Simplifying 10c2 + -8c + -24 = 0 Reorder the terms: -24 + -8c + 10c2 = 0 Solving -24 + -8c + 10c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2'. 2(-12 + -4c + 5c2) = 0 Factor a trinomial. 2((-6 + -5c)(2 + -1c)) = 0 Ignore the factor 2.Subproblem 1
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 = -1.2Subproblem 2
Set the factor '(2 + -1c)' equal to zero and attempt to solve: Simplifying 2 + -1c = 0 Solving 2 + -1c = 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 + -1c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1c = 0 + -2 -1c = 0 + -2 Combine like terms: 0 + -2 = -2 -1c = -2 Divide each side by '-1'. c = 2 Simplifying c = 2Solution
c = {-1.2, 2}
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