6x^2-29x-35=0

Solution for 6x^2-29x-35=0 equation:

Simplifying
6x2 + -29x + -35 = 0

Reorder the terms:
-35 + -29x + 6x2 = 0

Solving
-35 + -29x + 6x2 = 0

Solving for variable 'x'.

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

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

Simplifying
-1 + -1x = 0

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

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

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

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

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