3x^2-48x+156=39

Solution for 3x^2-48x+156=39 equation:

Simplifying
3x2 + -48x + 156 = 39

Reorder the terms:
156 + -48x + 3x2 = 39

Solving
156 + -48x + 3x2 = 39

Solving for variable 'x'.

Reorder the terms:
156 + -39 + -48x + 3x2 = 39 + -39

Combine like terms: 156 + -39 = 117
117 + -48x + 3x2 = 39 + -39

Combine like terms: 39 + -39 = 0
117 + -48x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(39 + -16x + x2) = 0

Factor a trinomial.
3((3 + -1x)(13 + -1x)) = 0

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

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve:

Simplifying
13 + -1x = 0

Solving
13 + -1x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 0 + -13
-1x = 0 + -13

Combine like terms: 0 + -13 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13
Solution
x = {3, 13}