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((-42 + -1x)(40 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
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
Solution
x = {-42, 40}