=16x^2+48x

Solution for =16x^2+48x equation:

Simplifying
0 = 16x2 + 48x

Reorder the terms:
0 = 48x + 16x2

Solving
0 = 48x + 16x2

Solving for variable 'x'.
Remove the zero:
-48x + -16x2 = 48x + 16x2 + -48x + -16x2

Reorder the terms:
-48x + -16x2 = 48x + -48x + 16x2 + -16x2

Combine like terms: 48x + -48x = 0
-48x + -16x2 = 0 + 16x2 + -16x2
-48x + -16x2 = 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
-48x + -16x2 = 0

Factor out the Greatest Common Factor (GCF), '-16x'.
-16x(3 + x) = 0

Ignore the factor -16.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {0, -3}