9x^2-245x+500=0

Solution for 9x^2-245x+500=0 equation:

Simplifying
9x2 + -245x + 500 = 0

Reorder the terms:
500 + -245x + 9x2 = 0

Solving
500 + -245x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(20 + -9x)(25 + -1x) = 0

Subproblem 1
Set the factor '(20 + -9x)' equal to zero and attempt to solve:

Simplifying
20 + -9x = 0

Solving
20 + -9x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -9x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -9x = 0 + -20
-9x = 0 + -20

Combine like terms: 0 + -20 = -20
-9x = -20

Divide each side by '-9'.
x = 2.222222222

Simplifying
x = 2.222222222
Subproblem 2
Set the factor '(25 + -1x)' equal to zero and attempt to solve:

Simplifying
25 + -1x = 0

Solving
25 + -1x = 0

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

Add '-25' to each side of the equation.
25 + -25 + -1x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1x = 0 + -25
-1x = 0 + -25

Combine like terms: 0 + -25 = -25
-1x = -25

Divide each side by '-1'.
x = 25

Simplifying
x = 25
Solution
x = {2.222222222, 25}