0=(2x^2)-17x+26

Solution for 0=(2x^2)-17x+26 equation:

Simplifying
0 = (2x2) + -17x + 26

Reorder the terms:
0 = 26 + -17x + (2x2)

Solving
0 = 26 + -17x + (2x2)

Solving for variable 'x'.

Combine like terms: 0 + -26 = -26
-26 + 17x + (-2x2) = 26 + -17x + (2x2) + -26 + 17x + (-2x2)

Reorder the terms:
-26 + 17x + (-2x2) = 26 + -26 + -17x + 17x + (2x2) + (-2x2)

Combine like terms: 26 + -26 = 0
-26 + 17x + (-2x2) = 0 + -17x + 17x + (2x2) + (-2x2)
-26 + 17x + (-2x2) = -17x + 17x + (2x2) + (-2x2)

Combine like terms: -17x + 17x = 0
-26 + 17x + (-2x2) = 0 + (2x2) + (-2x2)
-26 + 17x + (-2x2) = (2x2) + (-2x2)

Combine like terms: (2x2) + (-2x2) = 0
-26 + 17x + (-2x2) = 0

Factor a trinomial.
(-13 + 2x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-13 + 2x)' equal to zero and attempt to solve:

Simplifying
-13 + 2x = 0

Solving
-13 + 2x = 0

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

Add '13' to each side of the equation.
-13 + 13 + 2x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 2x = 0 + 13
2x = 0 + 13

Combine like terms: 0 + 13 = 13
2x = 13

Divide each side by '2'.
x = 6.5

Simplifying
x = 6.5
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 = {6.5, 2}