7x^2-25x+22=0

Solution for 7x^2-25x+22=0 equation:

Simplifying
7x2 + -25x + 22 = 0

Reorder the terms:
22 + -25x + 7x2 = 0

Solving
22 + -25x + 7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(11 + -7x)(2 + -1x) = 0

Subproblem 1
Set the factor '(11 + -7x)' equal to zero and attempt to solve:

Simplifying
11 + -7x = 0

Solving
11 + -7x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -7x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -7x = 0 + -11
-7x = 0 + -11

Combine like terms: 0 + -11 = -11
-7x = -11

Divide each side by '-7'.
x = 1.571428571

Simplifying
x = 1.571428571
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 = {1.571428571, 2}