c^2-74c+1225=0

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Solution for c^2-74c+1225=0 equation:


Simplifying
c2 + -74c + 1225 = 0

Reorder the terms:
1225 + -74c + c2 = 0

Solving
1225 + -74c + c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(25 + -1c)(49 + -1c) = 0

Subproblem 1

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 = 25

Subproblem 2

Set the factor '(49 + -1c)' equal to zero and attempt to solve: Simplifying 49 + -1c = 0 Solving 49 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -1c = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -1c = 0 + -49 -1c = 0 + -49 Combine like terms: 0 + -49 = -49 -1c = -49 Divide each side by '-1'. c = 49 Simplifying c = 49

Solution

c = {25, 49}

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