4x^2+28x-4440=0

Solution for 4x^2+28x-4440=0 equation:

Simplifying
4x2 + 28x + -4440 = 0

Reorder the terms:
-4440 + 28x + 4x2 = 0

Solving
-4440 + 28x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-1110 + 7x + x2) = 0

Factor a trinomial.
4((-37 + -1x)(30 + -1x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-37 + -1x)' equal to zero and attempt to solve:

Simplifying
-37 + -1x = 0

Solving
-37 + -1x = 0

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

Add '37' to each side of the equation.
-37 + 37 + -1x = 0 + 37

Combine like terms: -37 + 37 = 0
0 + -1x = 0 + 37
-1x = 0 + 37

Combine like terms: 0 + 37 = 37
-1x = 37

Divide each side by '-1'.
x = -37

Simplifying
x = -37
Subproblem 2
Set the factor '(30 + -1x)' equal to zero and attempt to solve:

Simplifying
30 + -1x = 0

Solving
30 + -1x = 0

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

Add '-30' to each side of the equation.
30 + -30 + -1x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1x = 0 + -30
-1x = 0 + -30

Combine like terms: 0 + -30 = -30
-1x = -30

Divide each side by '-1'.
x = 30

Simplifying
x = 30
Solution
x = {-37, 30}