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Simplifying 8c2 + 14c + -72 = 0 Reorder the terms: -72 + 14c + 8c2 = 0 Solving -72 + 14c + 8c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2'. 2(-36 + 7c + 4c2) = 0 Factor a trinomial. 2((-4 + -1c)(9 + -4c)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + -1c)' equal to zero and attempt to solve: Simplifying -4 + -1c = 0 Solving -4 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1c = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1c = 0 + 4 -1c = 0 + 4 Combine like terms: 0 + 4 = 4 -1c = 4 Divide each side by '-1'. c = -4 Simplifying c = -4Subproblem 2
Set the factor '(9 + -4c)' equal to zero and attempt to solve: Simplifying 9 + -4c = 0 Solving 9 + -4c = 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 + -4c = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4c = 0 + -9 -4c = 0 + -9 Combine like terms: 0 + -9 = -9 -4c = -9 Divide each side by '-4'. c = 2.25 Simplifying c = 2.25Solution
c = {-4, 2.25}
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