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Simplifying 16c2 = 36 + 36c Solving 16c2 = 36 + 36c Solving for variable 'c'. Reorder the terms: -36 + -36c + 16c2 = 36 + 36c + -36 + -36c Reorder the terms: -36 + -36c + 16c2 = 36 + -36 + 36c + -36c Combine like terms: 36 + -36 = 0 -36 + -36c + 16c2 = 0 + 36c + -36c -36 + -36c + 16c2 = 36c + -36c Combine like terms: 36c + -36c = 0 -36 + -36c + 16c2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-9 + -9c + 4c2) = 0 Factor a trinomial. 4((-3 + -4c)(3 + -1c)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-3 + -4c)' equal to zero and attempt to solve: Simplifying -3 + -4c = 0 Solving -3 + -4c = 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 + -4c = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4c = 0 + 3 -4c = 0 + 3 Combine like terms: 0 + 3 = 3 -4c = 3 Divide each side by '-4'. c = -0.75 Simplifying c = -0.75Subproblem 2
Set the factor '(3 + -1c)' equal to zero and attempt to solve: Simplifying 3 + -1c = 0 Solving 3 + -1c = 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 + -1c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1c = 0 + -3 -1c = 0 + -3 Combine like terms: 0 + -3 = -3 -1c = -3 Divide each side by '-1'. c = 3 Simplifying c = 3Solution
c = {-0.75, 3}
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