0=2x^2-212x+1920

Solution for 0=2x^2-212x+1920 equation:

Simplifying
0 = 2x2 + -212x + 1920

Reorder the terms:
0 = 1920 + -212x + 2x2

Solving
0 = 1920 + -212x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + -1920 = -1920
-1920 + 212x + -2x2 = 1920 + -212x + 2x2 + -1920 + 212x + -2x2

Reorder the terms:
-1920 + 212x + -2x2 = 1920 + -1920 + -212x + 212x + 2x2 + -2x2

Combine like terms: 1920 + -1920 = 0
-1920 + 212x + -2x2 = 0 + -212x + 212x + 2x2 + -2x2
-1920 + 212x + -2x2 = -212x + 212x + 2x2 + -2x2

Combine like terms: -212x + 212x = 0
-1920 + 212x + -2x2 = 0 + 2x2 + -2x2
-1920 + 212x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-1920 + 212x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-960 + 106x + -1x2) = 0

Factor a trinomial.
2((-96 + x)(10 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-96 + x)' equal to zero and attempt to solve:

Simplifying
-96 + x = 0

Solving
-96 + x = 0

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

Add '96' to each side of the equation.
-96 + 96 + x = 0 + 96

Combine like terms: -96 + 96 = 0
0 + x = 0 + 96
x = 0 + 96

Combine like terms: 0 + 96 = 96
x = 96

Simplifying
x = 96
Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {96, 10}