2x^2-81x+154=0

Solution for 2x^2-81x+154=0 equation:

Simplifying
2x2 + -81x + 154 = 0

Reorder the terms:
154 + -81x + 2x2 = 0

Solving
154 + -81x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -1x)(77 + -2x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(77 + -2x)' equal to zero and attempt to solve:

Simplifying
77 + -2x = 0

Solving
77 + -2x = 0

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

Add '-77' to each side of the equation.
77 + -77 + -2x = 0 + -77

Combine like terms: 77 + -77 = 0
0 + -2x = 0 + -77
-2x = 0 + -77

Combine like terms: 0 + -77 = -77
-2x = -77

Divide each side by '-2'.
x = 38.5

Simplifying
x = 38.5
Solution
x = {2, 38.5}