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Simplifying 96c2 + 336c + 294 = 0 Reorder the terms: 294 + 336c + 96c2 = 0 Solving 294 + 336c + 96c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '6'. 6(49 + 56c + 16c2) = 0 Factor a trinomial. 6((7 + 4c)(7 + 4c)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(7 + 4c)' equal to zero and attempt to solve: Simplifying 7 + 4c = 0 Solving 7 + 4c = 0 Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4c = 0 + -7 4c = 0 + -7 Combine like terms: 0 + -7 = -7 4c = -7 Divide each side by '4'. c = -1.75 Simplifying c = -1.75Subproblem 2
Set the factor '(7 + 4c)' equal to zero and attempt to solve: Simplifying 7 + 4c = 0 Solving 7 + 4c = 0 Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4c = 0 + -7 4c = 0 + -7 Combine like terms: 0 + -7 = -7 4c = -7 Divide each side by '4'. c = -1.75 Simplifying c = -1.75Solution
c = {-1.75, -1.75}
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