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Simplifying 16c + 28c2 + -44 = 0 Reorder the terms: -44 + 16c + 28c2 = 0 Solving -44 + 16c + 28c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '4'. 4(-11 + 4c + 7c2) = 0 Factor a trinomial. 4((-11 + -7c)(1 + -1c)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-11 + -7c)' equal to zero and attempt to solve: Simplifying -11 + -7c = 0 Solving -11 + -7c = 0 Move all terms containing c to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -7c = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -7c = 0 + 11 -7c = 0 + 11 Combine like terms: 0 + 11 = 11 -7c = 11 Divide each side by '-7'. c = -1.571428571 Simplifying c = -1.571428571Subproblem 2
Set the factor '(1 + -1c)' equal to zero and attempt to solve: Simplifying 1 + -1c = 0 Solving 1 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1c = 0 + -1 -1c = 0 + -1 Combine like terms: 0 + -1 = -1 -1c = -1 Divide each side by '-1'. c = 1 Simplifying c = 1Solution
c = {-1.571428571, 1}
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