4x(x+2)=192

Solution for 4x(x+2)=192 equation:

Simplifying
4x(x + 2) = 192

Reorder the terms:
4x(2 + x) = 192
(2 * 4x + x * 4x) = 192
(8x + 4x2) = 192

Solving
8x + 4x2 = 192

Solving for variable 'x'.

Reorder the terms:
-192 + 8x + 4x2 = 192 + -192

Combine like terms: 192 + -192 = 0
-192 + 8x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-48 + 2x + x2) = 0

Factor a trinomial.
4((-8 + -1x)(6 + -1x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-8, 6}