13x^2-118x+240=0

Solution for 13x^2-118x+240=0 equation:

Simplifying
13x2 + -118x + 240 = 0

Reorder the terms:
240 + -118x + 13x2 = 0

Solving
240 + -118x + 13x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(40 + -13x)(6 + -1x) = 0

Subproblem 1
Set the factor '(40 + -13x)' equal to zero and attempt to solve:

Simplifying
40 + -13x = 0

Solving
40 + -13x = 0

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

Add '-40' to each side of the equation.
40 + -40 + -13x = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -13x = 0 + -40
-13x = 0 + -40

Combine like terms: 0 + -40 = -40
-13x = -40

Divide each side by '-13'.
x = 3.076923077

Simplifying
x = 3.076923077
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 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 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {3.076923077, 6}