25x^2-34x+9=0

Solution for 25x^2-34x+9=0 equation:

Simplifying
25x2 + -34x + 9 = 0

Reorder the terms:
9 + -34x + 25x2 = 0

Solving
9 + -34x + 25x2 = 0

Solving for variable 'x'.

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

Subproblem 1
Set the factor '(9 + -25x)' equal to zero and attempt to solve:

Simplifying
9 + -25x = 0

Solving
9 + -25x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -25x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -25x = 0 + -9
-25x = 0 + -9

Combine like terms: 0 + -9 = -9
-25x = -9

Divide each side by '-25'.
x = 0.36

Simplifying
x = 0.36
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

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

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

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

Simplifying
x = 1
Solution
x = {0.36, 1}