(2x^2)-(33x)+(16)=0

Solution for (2x^2)-(33x)+(16)=0 equation:

Simplifying
(2x2) + -1(33x) + (16) = 0

Remove parenthesis around (33x)
(2x2) + -1 * 33x + (16) = 0

Multiply -1 * 33
(2x2) + -33x + (16) = 0
(2x2) + -33x + 16 = 0

Reorder the terms:
16 + -33x + (2x2) = 0

Solving
16 + -33x + (2x2) = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -2x)(16 + -1x) = 0

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Solution
x = {0.5, 16}