8x^2+35x+33=0

Solution for 8x^2+35x+33=0 equation:

Simplifying
8x2 + 35x + 33 = 0

Reorder the terms:
33 + 35x + 8x2 = 0

Solving
33 + 35x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + x)(11 + 8x) = 0

Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Subproblem 2
Set the factor '(11 + 8x)' equal to zero and attempt to solve:

Simplifying
11 + 8x = 0

Solving
11 + 8x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 8x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 8x = 0 + -11
8x = 0 + -11

Combine like terms: 0 + -11 = -11
8x = -11

Divide each side by '8'.
x = -1.375

Simplifying
x = -1.375
Solution
x = {-3, -1.375}