0=3x^2-24x+48

Solution for 0=3x^2-24x+48 equation:

Simplifying
0 = 3x2 + -24x + 48

Reorder the terms:
0 = 48 + -24x + 3x2

Solving
0 = 48 + -24x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + -48 = -48
-48 + 24x + -3x2 = 48 + -24x + 3x2 + -48 + 24x + -3x2

Reorder the terms:
-48 + 24x + -3x2 = 48 + -48 + -24x + 24x + 3x2 + -3x2

Combine like terms: 48 + -48 = 0
-48 + 24x + -3x2 = 0 + -24x + 24x + 3x2 + -3x2
-48 + 24x + -3x2 = -24x + 24x + 3x2 + -3x2

Combine like terms: -24x + 24x = 0
-48 + 24x + -3x2 = 0 + 3x2 + -3x2
-48 + 24x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-48 + 24x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-16 + 8x + -1x2) = 0

Factor a trinomial.
3((-4 + x)(4 + -1x)) = 0

Ignore the factor 3.
Subproblem 1
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
Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

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