9x^2-49x+62=0

Solution for 9x^2-49x+62=0 equation:

Simplifying
9x2 + -49x + 62 = 0

Reorder the terms:
62 + -49x + 9x2 = 0

Solving
62 + -49x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -1x)(31 + -9x) = 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 '(31 + -9x)' equal to zero and attempt to solve:

Simplifying
31 + -9x = 0

Solving
31 + -9x = 0

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

Add '-31' to each side of the equation.
31 + -31 + -9x = 0 + -31

Combine like terms: 31 + -31 = 0
0 + -9x = 0 + -31
-9x = 0 + -31

Combine like terms: 0 + -31 = -31
-9x = -31

Divide each side by '-9'.
x = 3.444444444

Simplifying
x = 3.444444444
Solution
x = {2, 3.444444444}