2x^2-53x+215=0

Solution for 2x^2-53x+215=0 equation:

Simplifying
2x2 + -53x + 215 = 0

Reorder the terms:
215 + -53x + 2x2 = 0

Solving
215 + -53x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -1x)(43 + -2x) = 0

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 '(43 + -2x)' equal to zero and attempt to solve:

Simplifying
43 + -2x = 0

Solving
43 + -2x = 0

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

Add '-43' to each side of the equation.
43 + -43 + -2x = 0 + -43

Combine like terms: 43 + -43 = 0
0 + -2x = 0 + -43
-2x = 0 + -43

Combine like terms: 0 + -43 = -43
-2x = -43

Divide each side by '-2'.
x = 21.5

Simplifying
x = 21.5
Solution
x = {5, 21.5}