-1(6x^2-41x+30)=0

Solution for -1(6x^2-41x+30)=0 equation:

Simplifying
-1(6x2 + -41x + 30) = 0

Reorder the terms:
-1(30 + -41x + 6x2) = 0
(30 * -1 + -41x * -1 + 6x2 * -1) = 0
(-30 + 41x + -6x2) = 0

Solving
-30 + 41x + -6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-6 + x)(5 + -6x) = 0

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

Simplifying
-6 + x = 0

Solving
-6 + x = 0

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

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

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

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

Simplifying
x = 6
Subproblem 2
Set the factor '(5 + -6x)' equal to zero and attempt to solve:

Simplifying
5 + -6x = 0

Solving
5 + -6x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -6x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = 0 + -5
-6x = 0 + -5

Combine like terms: 0 + -5 = -5
-6x = -5

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333
Solution
x = {6, 0.8333333333}