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Simplifying 15c2 + -4c + -11 = 0 Reorder the terms: -11 + -4c + 15c2 = 0 Solving -11 + -4c + 15c2 = 0 Solving for variable 'c'. Factor a trinomial. (-11 + -15c)(1 + -1c) = 0Subproblem 1
Set the factor '(-11 + -15c)' equal to zero and attempt to solve: Simplifying -11 + -15c = 0 Solving -11 + -15c = 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 + -15c = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -15c = 0 + 11 -15c = 0 + 11 Combine like terms: 0 + 11 = 11 -15c = 11 Divide each side by '-15'. c = -0.7333333333 Simplifying c = -0.7333333333Subproblem 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 = {-0.7333333333, 1}
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