169x^2-130x+24=0

Solution for 169x^2-130x+24=0 equation:

Simplifying
169x2 + -130x + 24 = 0

Reorder the terms:
24 + -130x + 169x2 = 0

Solving
24 + -130x + 169x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -13x)(6 + -13x) = 0

Subproblem 1
Set the factor '(4 + -13x)' equal to zero and attempt to solve:

Simplifying
4 + -13x = 0

Solving
4 + -13x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -13x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -13x = 0 + -4
-13x = 0 + -4

Combine like terms: 0 + -4 = -4
-13x = -4

Divide each side by '-13'.
x = 0.3076923077

Simplifying
x = 0.3076923077
Subproblem 2
Set the factor '(6 + -13x)' equal to zero and attempt to solve:

Simplifying
6 + -13x = 0

Solving
6 + -13x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -13x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -13x = 0 + -6
-13x = 0 + -6

Combine like terms: 0 + -6 = -6
-13x = -6

Divide each side by '-13'.
x = 0.4615384615

Simplifying
x = 0.4615384615
Solution
x = {0.3076923077, 0.4615384615}