6x^2-43x+76=0

Solution for 6x^2-43x+76=0 equation:

Simplifying
6x2 + -43x + 76 = 0

Reorder the terms:
76 + -43x + 6x2 = 0

Solving
76 + -43x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(19 + -6x)(4 + -1x) = 0

Subproblem 1
Set the factor '(19 + -6x)' equal to zero and attempt to solve:

Simplifying
19 + -6x = 0

Solving
19 + -6x = 0

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

Add '-19' to each side of the equation.
19 + -19 + -6x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -6x = 0 + -19
-6x = 0 + -19

Combine like terms: 0 + -19 = -19
-6x = -19

Divide each side by '-6'.
x = 3.166666667

Simplifying
x = 3.166666667
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 = {3.166666667, 4}