4x^2+240x-3456=0

Solution for 4x^2+240x-3456=0 equation:

Simplifying
4x2 + 240x + -3456 = 0

Reorder the terms:
-3456 + 240x + 4x2 = 0

Solving
-3456 + 240x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-864 + 60x + x2) = 0

Factor a trinomial.
4((-72 + -1x)(12 + -1x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-72 + -1x)' equal to zero and attempt to solve:

Simplifying
-72 + -1x = 0

Solving
-72 + -1x = 0

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

Add '72' to each side of the equation.
-72 + 72 + -1x = 0 + 72

Combine like terms: -72 + 72 = 0
0 + -1x = 0 + 72
-1x = 0 + 72

Combine like terms: 0 + 72 = 72
-1x = 72

Divide each side by '-1'.
x = -72

Simplifying
x = -72
Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {-72, 12}