2x^2+80=26x

Solution for 2x^2+80=26x equation:

Simplifying
2x2 + 80 = 26x

Reorder the terms:
80 + 2x2 = 26x

Solving
80 + 2x2 = 26x

Solving for variable 'x'.

Reorder the terms:
80 + -26x + 2x2 = 26x + -26x

Combine like terms: 26x + -26x = 0
80 + -26x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(40 + -13x + x2) = 0

Factor a trinomial.
2((5 + -1x)(8 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {5, 8}