45x^2+29x+4=

Solution for 45x^2+29x+4= equation:

Simplifying
45x2 + 29x + 4 = 0

Reorder the terms:
4 + 29x + 45x2 = 0

Solving
4 + 29x + 45x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + 9x)(1 + 5x) = 0

Subproblem 1
Set the factor '(4 + 9x)' equal to zero and attempt to solve:

Simplifying
4 + 9x = 0

Solving
4 + 9x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 9x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 9x = 0 + -4
9x = 0 + -4

Combine like terms: 0 + -4 = -4
9x = -4

Divide each side by '9'.
x = -0.4444444444

Simplifying
x = -0.4444444444
Subproblem 2
Set the factor '(1 + 5x)' equal to zero and attempt to solve:

Simplifying
1 + 5x = 0

Solving
1 + 5x = 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 + 5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 0 + -1
5x = 0 + -1

Combine like terms: 0 + -1 = -1
5x = -1

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2
Solution
x = {-0.4444444444, -0.2}