6x^2+41x+35=0

Solution for 6x^2+41x+35=0 equation:

Simplifying
6x2 + 41x + 35 = 0

Reorder the terms:
35 + 41x + 6x2 = 0

Solving
35 + 41x + 6x2 = 0

Solving for variable 'x'.

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

Subproblem 1
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
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

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

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

Simplifying
x = -1
Solution
x = {-5.833333333, -1}