(c-25)(c+50)=0

Solution for (c-25)(c+50)=0 equation:

Simplifying
(c + -25)(c + 50) = 0

Reorder the terms:
(-25 + c)(c + 50) = 0

Reorder the terms:
(-25 + c)(50 + c) = 0

Multiply (-25 + c) * (50 + c)
(-25(50 + c) + c(50 + c)) = 0
((50 * -25 + c * -25) + c(50 + c)) = 0
((-1250 + -25c) + c(50 + c)) = 0
(-1250 + -25c + (50 * c + c * c)) = 0
(-1250 + -25c + (50c + c2)) = 0

Combine like terms: -25c + 50c = 25c
(-1250 + 25c + c2) = 0

Solving
-1250 + 25c + c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(-50 + -1c)(25 + -1c) = 0

Subproblem 1
Set the factor '(-50 + -1c)' equal to zero and attempt to solve:

Simplifying
-50 + -1c = 0

Solving
-50 + -1c = 0

Move all terms containing c to the left, all other terms to the right.

Add '50' to each side of the equation.
-50 + 50 + -1c = 0 + 50

Combine like terms: -50 + 50 = 0
0 + -1c = 0 + 50
-1c = 0 + 50

Combine like terms: 0 + 50 = 50
-1c = 50

Divide each side by '-1'.
c = -50

Simplifying
c = -50
Subproblem 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 = 25
Solution
c = {-50, 25}