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Simplifying (2c + 5)(2c + 5) = 0 Reorder the terms: (5 + 2c)(2c + 5) = 0 Reorder the terms: (5 + 2c)(5 + 2c) = 0 Multiply (5 + 2c) * (5 + 2c) (5(5 + 2c) + 2c * (5 + 2c)) = 0 ((5 * 5 + 2c * 5) + 2c * (5 + 2c)) = 0 ((25 + 10c) + 2c * (5 + 2c)) = 0 (25 + 10c + (5 * 2c + 2c * 2c)) = 0 (25 + 10c + (10c + 4c2)) = 0 Combine like terms: 10c + 10c = 20c (25 + 20c + 4c2) = 0 Solving 25 + 20c + 4c2 = 0 Solving for variable 'c'. Factor a trinomial. (5 + 2c)(5 + 2c) = 0Subproblem 1
Set the factor '(5 + 2c)' equal to zero and attempt to solve: Simplifying 5 + 2c = 0 Solving 5 + 2c = 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 + 2c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2c = 0 + -5 2c = 0 + -5 Combine like terms: 0 + -5 = -5 2c = -5 Divide each side by '2'. c = -2.5 Simplifying c = -2.5Subproblem 2
Set the factor '(5 + 2c)' equal to zero and attempt to solve: Simplifying 5 + 2c = 0 Solving 5 + 2c = 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 + 2c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2c = 0 + -5 2c = 0 + -5 Combine like terms: 0 + -5 = -5 2c = -5 Divide each side by '2'. c = -2.5 Simplifying c = -2.5Solution
c = {-2.5, -2.5}
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