12x^2-118x+280=0

Solution for 12x^2-118x+280=0 equation:

Simplifying
12x2 + -118x + 280 = 0

Reorder the terms:
280 + -118x + 12x2 = 0

Solving
280 + -118x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(140 + -59x + 6x2) = 0

Factor a trinomial.
2((4 + -1x)(35 + -6x)) = 0

Ignore the factor 2.
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 '(35 + -6x)' equal to zero and attempt to solve:

Simplifying
35 + -6x = 0

Solving
35 + -6x = 0

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

Add '-35' to each side of the equation.
35 + -35 + -6x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -6x = 0 + -35
-6x = 0 + -35

Combine like terms: 0 + -35 = -35
-6x = -35

Divide each side by '-6'.
x = 5.833333333

Simplifying
x = 5.833333333
Solution
x = {4, 5.833333333}