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Simplifying (c + 4)(c + 10) = 0 Reorder the terms: (4 + c)(c + 10) = 0 Reorder the terms: (4 + c)(10 + c) = 0 Multiply (4 + c) * (10 + c) (4(10 + c) + c(10 + c)) = 0 ((10 * 4 + c * 4) + c(10 + c)) = 0 ((40 + 4c) + c(10 + c)) = 0 (40 + 4c + (10 * c + c * c)) = 0 (40 + 4c + (10c + c2)) = 0 Combine like terms: 4c + 10c = 14c (40 + 14c + c2) = 0 Solving 40 + 14c + c2 = 0 Solving for variable 'c'. Factor a trinomial. (10 + c)(4 + c) = 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 '(4 + c)' equal to zero and attempt to solve: Simplifying 4 + c = 0 Solving 4 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + c = 0 + -4 c = 0 + -4 Combine like terms: 0 + -4 = -4 c = -4 Simplifying c = -4Solution
c = {-10, -4}
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