3x^2-24x=-48

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

Simplifying
3x2 + -24x = -48

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

Solving
-24x + 3x2 = -48

Solving for variable 'x'.

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

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

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

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

Ignore the factor 3.
Subproblem 1
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
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}