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Simplifying 25 + -1c2 = 24c Solving 25 + -1c2 = 24c Solving for variable 'c'. Reorder the terms: 25 + -24c + -1c2 = 24c + -24c Combine like terms: 24c + -24c = 0 25 + -24c + -1c2 = 0 Factor a trinomial. (1 + -1c)(25 + c) = 0Subproblem 1
Set the factor '(1 + -1c)' equal to zero and attempt to solve: Simplifying 1 + -1c = 0 Solving 1 + -1c = 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 + -1c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1c = 0 + -1 -1c = 0 + -1 Combine like terms: 0 + -1 = -1 -1c = -1 Divide each side by '-1'. c = 1 Simplifying c = 1Subproblem 2
Set the factor '(25 + c)' equal to zero and attempt to solve: Simplifying 25 + c = 0 Solving 25 + c = 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 + c = 0 + -25 Combine like terms: 25 + -25 = 0 0 + c = 0 + -25 c = 0 + -25 Combine like terms: 0 + -25 = -25 c = -25 Simplifying c = -25Solution
c = {1, -25}
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