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Simplifying -10c2 + -11c + -3 = 0 Reorder the terms: -3 + -11c + -10c2 = 0 Solving -3 + -11c + -10c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '-1'. -1(3 + 11c + 10c2) = 0 Factor a trinomial. -1((3 + 5c)(1 + 2c)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(3 + 5c)' equal to zero and attempt to solve: Simplifying 3 + 5c = 0 Solving 3 + 5c = 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 + 5c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5c = 0 + -3 5c = 0 + -3 Combine like terms: 0 + -3 = -3 5c = -3 Divide each side by '5'. c = -0.6 Simplifying c = -0.6Subproblem 2
Set the factor '(1 + 2c)' equal to zero and attempt to solve: Simplifying 1 + 2c = 0 Solving 1 + 2c = 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 + 2c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2c = 0 + -1 2c = 0 + -1 Combine like terms: 0 + -1 = -1 2c = -1 Divide each side by '2'. c = -0.5 Simplifying c = -0.5Solution
c = {-0.6, -0.5}
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