48x=-12x^2

Solution for 48x=-12x^2 equation:

Simplifying
48x = -12x2

Solving
48x = -12x2

Solving for variable 'x'.

Combine like terms: -12x2 + 12x2 = 0
48x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '12x'.
12x(4 + x) = 0

Ignore the factor 12.
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 '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {0, -4}