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Simplifying (7c + 3)(c + 7) = 0 Reorder the terms: (3 + 7c)(c + 7) = 0 Reorder the terms: (3 + 7c)(7 + c) = 0 Multiply (3 + 7c) * (7 + c) (3(7 + c) + 7c * (7 + c)) = 0 ((7 * 3 + c * 3) + 7c * (7 + c)) = 0 ((21 + 3c) + 7c * (7 + c)) = 0 (21 + 3c + (7 * 7c + c * 7c)) = 0 (21 + 3c + (49c + 7c2)) = 0 Combine like terms: 3c + 49c = 52c (21 + 52c + 7c2) = 0 Solving 21 + 52c + 7c2 = 0 Solving for variable 'c'. Factor a trinomial. (7 + c)(3 + 7c) = 0Subproblem 1
Set the factor '(7 + c)' equal to zero and attempt to solve: Simplifying 7 + c = 0 Solving 7 + c = 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 + c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + c = 0 + -7 c = 0 + -7 Combine like terms: 0 + -7 = -7 c = -7 Simplifying c = -7Subproblem 2
Set the factor '(3 + 7c)' equal to zero and attempt to solve: Simplifying 3 + 7c = 0 Solving 3 + 7c = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7c = 0 + -3 7c = 0 + -3 Combine like terms: 0 + -3 = -3 7c = -3 Divide each side by '7'. c = -0.4285714286 Simplifying c = -0.4285714286Solution
c = {-7, -0.4285714286}
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