2+9X=5X^2

Solution for 2+9X=5X^2 equation:

Simplifying
2 + 9X = 5X2

Solving
2 + 9X = 5X2

Solving for variable 'X'.

Combine like terms: 5X2 + -5X2 = 0
2 + 9X + -5X2 = 0

Factor a trinomial.
(2 + -1X)(1 + 5X) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(1 + 5X)' equal to zero and attempt to solve:

Simplifying
1 + 5X = 0

Solving
1 + 5X = 0

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

Add '-1' to each side of the equation.
1 + -1 + 5X = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5X = 0 + -1
5X = 0 + -1

Combine like terms: 0 + -1 = -1
5X = -1

Divide each side by '5'.
X = -0.2

Simplifying
X = -0.2
Solution
X = {2, -0.2}