28x(x+4)=3920

Solution for 28x(x+4)=3920 equation:

Simplifying
28x(x + 4) = 3920

Reorder the terms:
28x(4 + x) = 3920
(4 * 28x + x * 28x) = 3920
(112x + 28x2) = 3920

Solving
112x + 28x2 = 3920

Solving for variable 'x'.

Reorder the terms:
-3920 + 112x + 28x2 = 3920 + -3920

Combine like terms: 3920 + -3920 = 0
-3920 + 112x + 28x2 = 0

Factor out the Greatest Common Factor (GCF), '28'.
28(-140 + 4x + x2) = 0

Factor a trinomial.
28((-14 + -1x)(10 + -1x)) = 0

Ignore the factor 28.
Subproblem 1
Set the factor '(-14 + -1x)' equal to zero and attempt to solve:

Simplifying
-14 + -1x = 0

Solving
-14 + -1x = 0

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

Add '14' to each side of the equation.
-14 + 14 + -1x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1x = 0 + 14
-1x = 0 + 14

Combine like terms: 0 + 14 = 14
-1x = 14

Divide each side by '-1'.
x = -14

Simplifying
x = -14
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 = {-14, 10}