X^2+25X=264

Solution for X^2+25X=264 equation:

Simplifying
X2 + 25X = 264

Reorder the terms:
25X + X2 = 264

Solving
25X + X2 = 264

Solving for variable 'X'.

Reorder the terms:
-264 + 25X + X2 = 264 + -264

Combine like terms: 264 + -264 = 0
-264 + 25X + X2 = 0

Factor a trinomial.
(-33 + -1X)(8 + -1X) = 0

Subproblem 1
Set the factor '(-33 + -1X)' equal to zero and attempt to solve:

Simplifying
-33 + -1X = 0

Solving
-33 + -1X = 0

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

Add '33' to each side of the equation.
-33 + 33 + -1X = 0 + 33

Combine like terms: -33 + 33 = 0
0 + -1X = 0 + 33
-1X = 0 + 33

Combine like terms: 0 + 33 = 33
-1X = 33

Divide each side by '-1'.
X = -33

Simplifying
X = -33
Subproblem 2
Set the factor '(8 + -1X)' equal to zero and attempt to solve:

Simplifying
8 + -1X = 0

Solving
8 + -1X = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1X = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1X = 0 + -8
-1X = 0 + -8

Combine like terms: 0 + -8 = -8
-1X = -8

Divide each side by '-1'.
X = 8

Simplifying
X = 8
Solution
X = {-33, 8}