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Simplifying (c2 + 5c + 2) + -1(-8c2 + -9c + -3) = 0 Reorder the terms: (2 + 5c + c2) + -1(-8c2 + -9c + -3) = 0 Remove parenthesis around (2 + 5c + c2) 2 + 5c + c2 + -1(-8c2 + -9c + -3) = 0 Reorder the terms: 2 + 5c + c2 + -1(-3 + -9c + -8c2) = 0 2 + 5c + c2 + (-3 * -1 + -9c * -1 + -8c2 * -1) = 0 2 + 5c + c2 + (3 + 9c + 8c2) = 0 Reorder the terms: 2 + 3 + 5c + 9c + c2 + 8c2 = 0 Combine like terms: 2 + 3 = 5 5 + 5c + 9c + c2 + 8c2 = 0 Combine like terms: 5c + 9c = 14c 5 + 14c + c2 + 8c2 = 0 Combine like terms: c2 + 8c2 = 9c2 5 + 14c + 9c2 = 0 Solving 5 + 14c + 9c2 = 0 Solving for variable 'c'. Factor a trinomial. (1 + c)(5 + 9c) = 0Subproblem 1
Set the factor '(1 + c)' equal to zero and attempt to solve: Simplifying 1 + c = 0 Solving 1 + c = 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 + c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + c = 0 + -1 c = 0 + -1 Combine like terms: 0 + -1 = -1 c = -1 Simplifying c = -1Subproblem 2
Set the factor '(5 + 9c)' equal to zero and attempt to solve: Simplifying 5 + 9c = 0 Solving 5 + 9c = 0 Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 9c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9c = 0 + -5 9c = 0 + -5 Combine like terms: 0 + -5 = -5 9c = -5 Divide each side by '9'. c = -0.5555555556 Simplifying c = -0.5555555556Solution
c = {-1, -0.5555555556}
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