6x^2-41x-4=3

Solution for 6x^2-41x-4=3 equation:

Simplifying
6x2 + -41x + -4 = 3

Reorder the terms:
-4 + -41x + 6x2 = 3

Solving
-4 + -41x + 6x2 = 3

Solving for variable 'x'.

Reorder the terms:
-4 + -3 + -41x + 6x2 = 3 + -3

Combine like terms: -4 + -3 = -7
-7 + -41x + 6x2 = 3 + -3

Combine like terms: 3 + -3 = 0
-7 + -41x + 6x2 = 0

Factor a trinomial.
(-1 + -6x)(7 + -1x) = 0

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

Simplifying
-1 + -6x = 0

Solving
-1 + -6x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -6x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -6x = 0 + 1
-6x = 0 + 1

Combine like terms: 0 + 1 = 1
-6x = 1

Divide each side by '-6'.
x = -0.1666666667

Simplifying
x = -0.1666666667
Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-0.1666666667, 7}