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Simplifying (5c + 1)(4c + 7) = 0 Reorder the terms: (1 + 5c)(4c + 7) = 0 Reorder the terms: (1 + 5c)(7 + 4c) = 0 Multiply (1 + 5c) * (7 + 4c) (1(7 + 4c) + 5c * (7 + 4c)) = 0 ((7 * 1 + 4c * 1) + 5c * (7 + 4c)) = 0 ((7 + 4c) + 5c * (7 + 4c)) = 0 (7 + 4c + (7 * 5c + 4c * 5c)) = 0 (7 + 4c + (35c + 20c2)) = 0 Combine like terms: 4c + 35c = 39c (7 + 39c + 20c2) = 0 Solving 7 + 39c + 20c2 = 0 Solving for variable 'c'. Factor a trinomial. (7 + 4c)(1 + 5c) = 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 + 5c)' equal to zero and attempt to solve: Simplifying 1 + 5c = 0 Solving 1 + 5c = 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 + 5c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5c = 0 + -1 5c = 0 + -1 Combine like terms: 0 + -1 = -1 5c = -1 Divide each side by '5'. c = -0.2 Simplifying c = -0.2Solution
c = {-1.75, -0.2}
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