0=2x^2-38x+96

Solution for 0=2x^2-38x+96 equation:

Simplifying
0 = 2x2 + -38x + 96

Reorder the terms:
0 = 96 + -38x + 2x2

Solving
0 = 96 + -38x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + -96 = -96
-96 + 38x + -2x2 = 96 + -38x + 2x2 + -96 + 38x + -2x2

Reorder the terms:
-96 + 38x + -2x2 = 96 + -96 + -38x + 38x + 2x2 + -2x2

Combine like terms: 96 + -96 = 0
-96 + 38x + -2x2 = 0 + -38x + 38x + 2x2 + -2x2
-96 + 38x + -2x2 = -38x + 38x + 2x2 + -2x2

Combine like terms: -38x + 38x = 0
-96 + 38x + -2x2 = 0 + 2x2 + -2x2
-96 + 38x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-96 + 38x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-48 + 19x + -1x2) = 0

Factor a trinomial.
2((-16 + x)(3 + -1x)) = 0

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

Simplifying
-16 + x = 0

Solving
-16 + x = 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 + x = 0 + 16

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

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

Simplifying
x = 16
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {16, 3}