49x^2-518x+1369=0

Solution for 49x^2-518x+1369=0 equation:

Simplifying
49x2 + -518x + 1369 = 0

Reorder the terms:
1369 + -518x + 49x2 = 0

Solving
1369 + -518x + 49x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(37 + -7x)(37 + -7x) = 0

Subproblem 1
Set the factor '(37 + -7x)' equal to zero and attempt to solve:

Simplifying
37 + -7x = 0

Solving
37 + -7x = 0

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

Add '-37' to each side of the equation.
37 + -37 + -7x = 0 + -37

Combine like terms: 37 + -37 = 0
0 + -7x = 0 + -37
-7x = 0 + -37

Combine like terms: 0 + -37 = -37
-7x = -37

Divide each side by '-7'.
x = 5.285714286

Simplifying
x = 5.285714286
Subproblem 2
Set the factor '(37 + -7x)' equal to zero and attempt to solve:

Simplifying
37 + -7x = 0

Solving
37 + -7x = 0

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

Add '-37' to each side of the equation.
37 + -37 + -7x = 0 + -37

Combine like terms: 37 + -37 = 0
0 + -7x = 0 + -37
-7x = 0 + -37

Combine like terms: 0 + -37 = -37
-7x = -37

Divide each side by '-7'.
x = 5.285714286

Simplifying
x = 5.285714286
Solution
x = {5.285714286, 5.285714286}