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Simplifying (c + -25)(c + 36) = 0 Reorder the terms: (-25 + c)(c + 36) = 0 Reorder the terms: (-25 + c)(36 + c) = 0 Multiply (-25 + c) * (36 + c) (-25(36 + c) + c(36 + c)) = 0 ((36 * -25 + c * -25) + c(36 + c)) = 0 ((-900 + -25c) + c(36 + c)) = 0 (-900 + -25c + (36 * c + c * c)) = 0 (-900 + -25c + (36c + c2)) = 0 Combine like terms: -25c + 36c = 11c (-900 + 11c + c2) = 0 Solving -900 + 11c + c2 = 0 Solving for variable 'c'. Factor a trinomial. (-36 + -1c)(25 + -1c) = 0Subproblem 1
Set the factor '(-36 + -1c)' equal to zero and attempt to solve: Simplifying -36 + -1c = 0 Solving -36 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -1c = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -1c = 0 + 36 -1c = 0 + 36 Combine like terms: 0 + 36 = 36 -1c = 36 Divide each side by '-1'. c = -36 Simplifying c = -36Subproblem 2
Set the factor '(25 + -1c)' equal to zero and attempt to solve: Simplifying 25 + -1c = 0 Solving 25 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1c = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1c = 0 + -25 -1c = 0 + -25 Combine like terms: 0 + -25 = -25 -1c = -25 Divide each side by '-1'. c = 25 Simplifying c = 25Solution
c = {-36, 25}
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