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Simplifying (c + -25)(c + 81) = 0 Reorder the terms: (-25 + c)(c + 81) = 0 Reorder the terms: (-25 + c)(81 + c) = 0 Multiply (-25 + c) * (81 + c) (-25(81 + c) + c(81 + c)) = 0 ((81 * -25 + c * -25) + c(81 + c)) = 0 ((-2025 + -25c) + c(81 + c)) = 0 (-2025 + -25c + (81 * c + c * c)) = 0 (-2025 + -25c + (81c + c2)) = 0 Combine like terms: -25c + 81c = 56c (-2025 + 56c + c2) = 0 Solving -2025 + 56c + c2 = 0 Solving for variable 'c'. Factor a trinomial. (-81 + -1c)(25 + -1c) = 0Subproblem 1
Set the factor '(-81 + -1c)' equal to zero and attempt to solve: Simplifying -81 + -1c = 0 Solving -81 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + -1c = 0 + 81 Combine like terms: -81 + 81 = 0 0 + -1c = 0 + 81 -1c = 0 + 81 Combine like terms: 0 + 81 = 81 -1c = 81 Divide each side by '-1'. c = -81 Simplifying c = -81Subproblem 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 = {-81, 25}
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