2x^2-4x=3360

Solution for 2x^2-4x=3360 equation:

Simplifying
2x2 + -4x = 3360

Reorder the terms:
-4x + 2x2 = 3360

Solving
-4x + 2x2 = 3360

Solving for variable 'x'.

Reorder the terms:
-3360 + -4x + 2x2 = 3360 + -3360

Combine like terms: 3360 + -3360 = 0
-3360 + -4x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1680 + -2x + x2) = 0

Factor a trinomial.
2((-40 + -1x)(42 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-40 + -1x)' equal to zero and attempt to solve:

Simplifying
-40 + -1x = 0

Solving
-40 + -1x = 0

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

Add '40' to each side of the equation.
-40 + 40 + -1x = 0 + 40

Combine like terms: -40 + 40 = 0
0 + -1x = 0 + 40
-1x = 0 + 40

Combine like terms: 0 + 40 = 40
-1x = 40

Divide each side by '-1'.
x = -40

Simplifying
x = -40
Subproblem 2
Set the factor '(42 + -1x)' equal to zero and attempt to solve:

Simplifying
42 + -1x = 0

Solving
42 + -1x = 0

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

Add '-42' to each side of the equation.
42 + -42 + -1x = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -1x = 0 + -42
-1x = 0 + -42

Combine like terms: 0 + -42 = -42
-1x = -42

Divide each side by '-1'.
x = 42

Simplifying
x = 42
Solution
x = {-40, 42}