4x^2+33x+29=0

Solution for 4x^2+33x+29=0 equation:

Simplifying
4x2 + 33x + 29 = 0

Reorder the terms:
29 + 33x + 4x2 = 0

Solving
29 + 33x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(29 + 4x)(1 + x) = 0

Subproblem 1
Set the factor '(29 + 4x)' equal to zero and attempt to solve:

Simplifying
29 + 4x = 0

Solving
29 + 4x = 0

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

Add '-29' to each side of the equation.
29 + -29 + 4x = 0 + -29

Combine like terms: 29 + -29 = 0
0 + 4x = 0 + -29
4x = 0 + -29

Combine like terms: 0 + -29 = -29
4x = -29

Divide each side by '4'.
x = -7.25

Simplifying
x = -7.25
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 = {-7.25, -1}