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Simplifying (4c + 7)(2c + 1) = 0 Reorder the terms: (7 + 4c)(2c + 1) = 0 Reorder the terms: (7 + 4c)(1 + 2c) = 0 Multiply (7 + 4c) * (1 + 2c) (7(1 + 2c) + 4c * (1 + 2c)) = 0 ((1 * 7 + 2c * 7) + 4c * (1 + 2c)) = 0 ((7 + 14c) + 4c * (1 + 2c)) = 0 (7 + 14c + (1 * 4c + 2c * 4c)) = 0 (7 + 14c + (4c + 8c2)) = 0 Combine like terms: 14c + 4c = 18c (7 + 18c + 8c2) = 0 Solving 7 + 18c + 8c2 = 0 Solving for variable 'c'. Factor a trinomial. (7 + 4c)(1 + 2c) = 0Subproblem 1
Set the factor '(7 + 4c)' equal to zero and attempt to solve: Simplifying 7 + 4c = 0 Solving 7 + 4c = 0 Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4c = 0 + -7 4c = 0 + -7 Combine like terms: 0 + -7 = -7 4c = -7 Divide each side by '4'. c = -1.75 Simplifying c = -1.75Subproblem 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 = {-1.75, -0.5}
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