2x^2-108x+106=

Solution for 2x^2-108x+106= equation:

Simplifying
2x2 + -108x + 106 = 0

Reorder the terms:
106 + -108x + 2x2 = 0

Solving
106 + -108x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(53 + -54x + x2) = 0

Factor a trinomial.
2((1 + -1x)(53 + -1x)) = 0

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Subproblem 2
Set the factor '(53 + -1x)' equal to zero and attempt to solve:

Simplifying
53 + -1x = 0

Solving
53 + -1x = 0

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

Add '-53' to each side of the equation.
53 + -53 + -1x = 0 + -53

Combine like terms: 53 + -53 = 0
0 + -1x = 0 + -53
-1x = 0 + -53

Combine like terms: 0 + -53 = -53
-1x = -53

Divide each side by '-1'.
x = 53

Simplifying
x = 53
Solution
x = {1, 53}