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Simplifying (5c + 11)(c + 10) = 0 Reorder the terms: (11 + 5c)(c + 10) = 0 Reorder the terms: (11 + 5c)(10 + c) = 0 Multiply (11 + 5c) * (10 + c) (11(10 + c) + 5c * (10 + c)) = 0 ((10 * 11 + c * 11) + 5c * (10 + c)) = 0 ((110 + 11c) + 5c * (10 + c)) = 0 (110 + 11c + (10 * 5c + c * 5c)) = 0 (110 + 11c + (50c + 5c2)) = 0 Combine like terms: 11c + 50c = 61c (110 + 61c + 5c2) = 0 Solving 110 + 61c + 5c2 = 0 Solving for variable 'c'. Factor a trinomial. (10 + c)(11 + 5c) = 0Subproblem 1
Set the factor '(10 + c)' equal to zero and attempt to solve: Simplifying 10 + c = 0 Solving 10 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + c = 0 + -10 Combine like terms: 10 + -10 = 0 0 + c = 0 + -10 c = 0 + -10 Combine like terms: 0 + -10 = -10 c = -10 Simplifying c = -10Subproblem 2
Set the factor '(11 + 5c)' equal to zero and attempt to solve: Simplifying 11 + 5c = 0 Solving 11 + 5c = 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 + 5c = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 5c = 0 + -11 5c = 0 + -11 Combine like terms: 0 + -11 = -11 5c = -11 Divide each side by '5'. c = -2.2 Simplifying c = -2.2Solution
c = {-10, -2.2}
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