46x^2+31x+4=0

Solution for 46x^2+31x+4=0 equation:

Simplifying
46x2 + 31x + 4 = 0

Reorder the terms:
4 + 31x + 46x2 = 0

Solving
4 + 31x + 46x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + 2x)(4 + 23x) = 0

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

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Subproblem 2
Set the factor '(4 + 23x)' equal to zero and attempt to solve:

Simplifying
4 + 23x = 0

Solving
4 + 23x = 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 + 23x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 23x = 0 + -4
23x = 0 + -4

Combine like terms: 0 + -4 = -4
23x = -4

Divide each side by '23'.
x = -0.1739130435

Simplifying
x = -0.1739130435
Solution
x = {-0.5, -0.1739130435}