3x^2-24x+50=149

Solution for 3x^2-24x+50=149 equation:

Simplifying
3x2 + -24x + 50 = 149

Reorder the terms:
50 + -24x + 3x2 = 149

Solving
50 + -24x + 3x2 = 149

Solving for variable 'x'.

Reorder the terms:
50 + -149 + -24x + 3x2 = 149 + -149

Combine like terms: 50 + -149 = -99
-99 + -24x + 3x2 = 149 + -149

Combine like terms: 149 + -149 = 0
-99 + -24x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-33 + -8x + x2) = 0

Factor a trinomial.
3((-3 + -1x)(11 + -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 '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-3, 11}