25X^2-9X-82=0

Solution for 25X^2-9X-82=0 equation:

Simplifying
25X2 + -9X + -82 = 0

Reorder the terms:
-82 + -9X + 25X2 = 0

Solving
-82 + -9X + 25X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-41 + -25X)(2 + -1X) = 0

Subproblem 1
Set the factor '(-41 + -25X)' equal to zero and attempt to solve:

Simplifying
-41 + -25X = 0

Solving
-41 + -25X = 0

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

Add '41' to each side of the equation.
-41 + 41 + -25X = 0 + 41

Combine like terms: -41 + 41 = 0
0 + -25X = 0 + 41
-25X = 0 + 41

Combine like terms: 0 + 41 = 41
-25X = 41

Divide each side by '-25'.
X = -1.64

Simplifying
X = -1.64
Subproblem 2
Set the factor '(2 + -1X)' equal to zero and attempt to solve:

Simplifying
2 + -1X = 0

Solving
2 + -1X = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1X = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1X = 0 + -2
-1X = 0 + -2

Combine like terms: 0 + -2 = -2
-1X = -2

Divide each side by '-1'.
X = 2

Simplifying
X = 2
Solution
X = {-1.64, 2}